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J. Dubé</h3></div><div class="js-work-strip profile--work_container" data-work-id="122062113"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV"><img alt="Research paper thumbnail of Rotational excitation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>by electron impact: 1-4 eV" class="work-thumbnail" src="https://attachments.academia-assets.com/116799642/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV">Rotational excitation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>by electron impact: 1-4 eV</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Feb 1, 1978</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Rotational and rotational-vibrational (v = 0-+1) excitation in N2 have been studied with a crosse...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Rotational and rotational-vibrational (v = 0-+1) excitation in N2 have been studied with a crossed-beam electron-impact apparatus. In the energy range 1-4 eV, the elastic and vib'rational energy-loss peaks show large rotational broadening compared with the apparatus profile (full width at half-maximum, 18 meV). The branching ratios for rotational transitions with hj = 0, + 2, + 4 are obtained with a line-shape analysis applied to the energy-loss profiles. The results for rotational-vibrational excitation at 2.27 eV and scattering angles 30-90' are in good agreement with the calculations using the resonant de waves and the rotational impulse approximation. The corresponding results for pure rotational excitation show that the branches with hj = + 2 arid + 4 are predominantly excited via resonances, while the branch with Aj = 0 contains a large contribution from direct scattering. The absolute rotational cross sections for hj = + 4 are measured; they exhibit a large magnitude (10 ' cm'). and peak and valley structures in the 1-4 eV range, reminiscent of well-known resonant vibrational excitation. The energy dependence and the absolute magnitude of the rotational cross sections for hj = + 4. can be understood in terms of a "boomerang" calculation. A comparison of the experiment with the relevant theoretical calculations is made.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4b05b61d8e9a42820b5c9030598bd5e7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799642,"asset_id":122062113,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799642/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062113"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062113"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062113; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062113]").text(description); $(".js-view-count[data-work-id=122062113]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062113; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062113']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "4b05b61d8e9a42820b5c9030598bd5e7" } } $('.js-work-strip[data-work-id=122062113]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062113,"title":"Rotational excitation of\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eN\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eby electron impact: 1-4 eV","internal_url":"https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062111"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach"><img alt="Research paper thumbnail of Dynamical substate mixing of fast ions in solids: a density matrix approach" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach">Dynamical substate mixing of fast ions in solids: a density matrix approach</a></div><div class="wp-workCard_item"><span>Journal of Physics B</span><span>, Sep 27, 1999</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062111"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062111"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062111; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062111]").text(description); $(".js-view-count[data-work-id=122062111]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062111; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062111']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062111]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062111,"title":"Dynamical substate mixing of fast ions in solids: a density matrix approach","internal_url":"https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062110"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks"><img alt="Research paper thumbnail of Social Confinement and Mesoscopic Localization of Epidemics on Networks" class="work-thumbnail" src="https://attachments.academia-assets.com/116799606/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks">Social Confinement and Mesoscopic Localization of Epidemics on Networks</a></div><div class="wp-workCard_item"><span>Physical Review Letters</span><span>, Mar 1, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Recommendations around epidemics tend to focus on individual behaviors, with much less efforts at...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Recommendations around epidemics tend to focus on individual behaviors, with much less efforts attempting to guide event cancellations and other collective behaviors since most models lack the higher-order structure necessary to describe large gatherings. Through a higher-order description of contagions on networks, we model the impact of a blanket cancellation of events larger than a critical size and find that epidemics can suddenly collapse when interventions operate over groups of individuals rather than at the level of individuals. We relate this phenomenon to the onset of mesoscopic localization, where contagions concentrate around dominant groups.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="478aaeeac29f3cb2499a3c24366dfb19" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799606,"asset_id":122062110,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799606/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062110"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062110"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062110; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062110]").text(description); $(".js-view-count[data-work-id=122062110]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062110; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062110']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "478aaeeac29f3cb2499a3c24366dfb19" } } $('.js-work-strip[data-work-id=122062110]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062110,"title":"Social Confinement and Mesoscopic Localization of Epidemics on Networks","internal_url":"https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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In particular, we will demonstrate the ability to control chaos in realistic complex environments. Several applications will serve to illustrate the theory and to highlight its advantages and weaknesses. The presentation will end with a survey of possible generalizations and extensions of the basic formalism as well as a discussion of applications outside the field of the physical sciences. Future research avenues in this rapidly growing field will also be addressed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="6e55e6392017e64d412cbf3410c04133" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799605,"asset_id":122062109,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799605/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062109"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062109"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062109; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062109]").text(description); $(".js-view-count[data-work-id=122062109]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062109; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062109']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "6e55e6392017e64d412cbf3410c04133" } } $('.js-work-strip[data-work-id=122062109]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062109,"title":"The control of dynamical systems—recovering order from chaos—","internal_url":"https://www.academia.edu/122062109/The_control_of_dynamical_systems_recovering_order_from_chaos_","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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Research has long focused on why systems as varied as protein networks, evolution and stock actions all feature scale independence. Assuming that they simply do, we focus here on describing how this behavior emerges, in contrast to more idealized models usually considered. We arrive at the conjecture that a minimal model to explain the growth towards scale independence involves only two coupled dynamical features: the first is the well-known preferential attachment principle and the second is a general form of delayed temporal scaling. While the first is sufficient, the second is present in all studied data and appears to maximize the speed of convergence to true scale independence. The delay in this temporal scaling acts as a coupling between population growth and individual activity. Together, these two dynamical properties appear to pave a precise evolution path, such that even an instantaneous snapshot of a distribution is enough to reconstruct the past of the system and predict its future. We validate our approach and confirm its usefulness on diverse spheres of human activities ranging from scientific and artistic productivity, to sexual relations and online traffic.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="ad28fb1a429f22769a65e658305fe379" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799602,"asset_id":122062108,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799602/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062108"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062108"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062108; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062108]").text(description); $(".js-view-count[data-work-id=122062108]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062108; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062108']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "ad28fb1a429f22769a65e658305fe379" } } $('.js-work-strip[data-work-id=122062108]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062108,"title":"On the constrained growth of complex scale-independent systems","internal_url":"https://www.academia.edu/122062108/On_the_constrained_growth_of_complex_scale_independent_systems","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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The model comprises two complementary mechanisms: One mechanism accounts for the evolution of the internal link structure of a single community, and the second mechanism coordinates the growth of multiple overlapping communities. The first mechanism is based on the assumption that each node establishes links with its neighbors and introduces new nodes to the community at different rates. We demonstrate that this simple mechanism gives rise to an effective maximal degree within communities. This observation is related to the anthropological theory known as Dunbar's number, i.e., the empirical observation of a maximal number of ties which an average individual can sustain within its social groups. The second mechanism is based on a recently proposed generalization of preferential attachment to community structure, appropriately called structural preferential attachment (SPA). The combination of these two mechanisms into a single model (SPA+) allows us to reproduce a number of the global statistics of real networks: The distribution of community sizes, of node memberships and of degrees. The SPA+ model also predicts (a) three qualitative regimes for the degree distribution within overlapping communities and (b) strong correlations between the number of communities to which a node belongs and its number of connections within each community. We present empirical evidence that support our findings in real complex networks.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bbc05d22e509dfe15d9e6ae5d49e6bc1" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799600,"asset_id":122062107,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799600/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062107"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062107"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062107; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062107]").text(description); $(".js-view-count[data-work-id=122062107]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062107; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062107']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bbc05d22e509dfe15d9e6ae5d49e6bc1" } } $('.js-work-strip[data-work-id=122062107]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062107,"title":"Growing networks of overlapping communities with internal structure","internal_url":"https://www.academia.edu/122062107/Growing_networks_of_overlapping_communities_with_internal_structure","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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Howev...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">According to Mulder’s theory, the zombies will eventually fall on each other and make love. However, be it for love or evil, the cold hard reality remains that the actions of the undead, just as those of the living, are also structured by simple constraints of social or spatiotemporal nature. In this chapter, we improve upon the standard zombie outbreak model by considering the underlying social network of the living and the horde behaviour of the undead. This model is then further improved by considering the adaptive nature of social interactions: people usually tend to avoid contact with zombies. Doing so captures the coevolution of the human social network and of the zombie outbreak, which encourages humans to naturally barricade themselves in groups of survivors to better fight the undead menace. And then? Better stack goods, arm yourself and be patient, for the undead hordes are there to stay; hopefully dancing and making love.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062106"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062106"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062106; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062106]").text(description); $(".js-view-count[data-work-id=122062106]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062106; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062106']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062106]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062106,"title":"The social zombie : modelling undead outbreaks on social networks","internal_url":"https://www.academia.edu/122062106/The_social_zombie_modelling_undead_outbreaks_on_social_networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062105"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters"><img alt="Research paper thumbnail of Optimization of integrated polarization filters" class="work-thumbnail" src="https://attachments.academia-assets.com/116799599/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters">Optimization of integrated polarization filters</a></div><div class="wp-workCard_item"><span>Optics Letters</span><span>, Oct 1, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This study reports on the design of small footprint, integrated polarization filters based on eng...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This study reports on the design of small footprint, integrated polarization filters based on engineered photonic lattices. Using a rods-in-air lattice as a basis for a TE filter and a holes-in-slab lattice for the analogous TM filter, we are able to maximize the degree of polarization of the output beams up to 98 % with a transmission efficiency greater than 75 %. The proposed designs allow not only for logical polarization filtering, but can also be tailored to output an arbitrary transverse beam profile. The lattice configurations are found using a recently proposed parallel tabu search algorithm for combinatorial optimization problems in integrated photonics.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="606c9f27dbc1c64f35cf1cc1e2803ab2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799599,"asset_id":122062105,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799599/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062105"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062105"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062105; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062105]").text(description); $(".js-view-count[data-work-id=122062105]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062105; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062105']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "606c9f27dbc1c64f35cf1cc1e2803ab2" } } $('.js-work-strip[data-work-id=122062105]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062105,"title":"Optimization of integrated polarization filters","internal_url":"https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799599,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799599/thumbnails/1.jpg","file_name":"1407.pdf","download_url":"https://www.academia.edu/attachments/116799599/download_file","bulk_download_file_name":"Optimization_of_integrated_polarization.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799599/1407-libre.pdf?1721041258=\u0026response-content-disposition=attachment%3B+filename%3DOptimization_of_integrated_polarization.pdf\u0026Expires=1740583586\u0026Signature=IhEy7TZyc6OcHoCL0UcYraiGLfestCKPzCn7QxkSbNOLaMTs9zFxI4zoOY-pCouLaheOFd~iv3YscwW~5QkMZTgMdfQ8J2fCqvIlgHRu4VHyAVt4I19ko-fd8T30m-5NbNDvuyW-4010nYNKH2sMDwOUZLX9X6bVf94nt6DL8ljFhwx5BQZYZhtWSRopSlgmM6nt2BIYilKOnDtksuuyhGbdmvGTsomPpVy6QDlaeIB0dLi7YQJKz5sYM-ZzsA9HD8JVOLnG8JGOxnBLDI7a7scrj9npIfMfyzTEtkwEJ6WvlN6H3Lw36fAAmtSeLTOp-dju5d9OwuWVX96oJ5r06Q__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":116799598,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799598/thumbnails/1.jpg","file_name":"1407.pdf","download_url":"https://www.academia.edu/attachments/116799598/download_file","bulk_download_file_name":"Optimization_of_integrated_polarization.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799598/1407-libre.pdf?1721041260=\u0026response-content-disposition=attachment%3B+filename%3DOptimization_of_integrated_polarization.pdf\u0026Expires=1740583586\u0026Signature=JOtzoFNHyeOuEw3j5aKjnUpoF8acHZSDTvTvD6wgxa7Lb6x0jojhAtR2ssJAElHy9xhT9BIBHYa~nyO9NkDEPld8JwGeMP8WNkTvvlNwe4vc7vYCN1bs7ahXRMIBfesWfj2w0YtU3XDXV5wd52w3SwLDMYUeOzjVhmkqGMUzpm8WZQS4WOtCRTBtRTNiiGxF~Gm6ncLR7d54aQARZvOVcepEnfOy6jAoZAYM9ba3SIv5m~EYPeOZcZchHW44frSh1mfJ43NH4jpTttXzTolbRZc-1dKrLNcNt5juTgtj3on6sP67TRpJaaGopXsayK2-ImacimCBOykMvww2kTzaPQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062104"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062104/Population_of_Rydberg_states_by_electron_capture_in_fast_ion_atom_collisions"><img alt="Research paper thumbnail of Population of Rydberg states by electron capture in fast-ion–atom collisions" class="work-thumbnail" src="https://attachments.academia-assets.com/116799641/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062104/Population_of_Rydberg_states_by_electron_capture_in_fast_ion_atom_collisions">Population of Rydberg states by electron capture in fast-ion–atom collisions</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Feb 1, 1985</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The I, m-substate distribution in low-lying Rydberg manifolds (n =10) following electron capture ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The I, m-substate distribution in low-lying Rydberg manifolds (n =10) following electron capture H+ + H(1s)-+H(n) + H+ is calculated at high velocities (u~1 a.u.) in the continuum-distortedwave (CDW) approximation. The standard CDW approximation is modified to account for finalstate Stark mixing of the Rydberg manifold in the exit channel using the post-collision-interaction model. The influence of multiple-scattering contributions is analyzed and comparison is made with o. I predicted by the Born approximation. We find that the double-scattering contribution, closely connected with the classical Thomas process, becomes visible in the CDW approximation at surprisingly low nonasymptotic velocities.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="cda23d6e36f4296a089c059e09ab1335" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799641,"asset_id":122062104,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799641/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062104"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062104"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062104; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062104]").text(description); $(".js-view-count[data-work-id=122062104]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062104; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062104']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "cda23d6e36f4296a089c059e09ab1335" } } $('.js-work-strip[data-work-id=122062104]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062104,"title":"Population of Rydberg states by electron capture in fast-ion–atom collisions","internal_url":"https://www.academia.edu/122062104/Population_of_Rydberg_states_by_electron_capture_in_fast_ion_atom_collisions","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799641,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799641/thumbnails/1.jpg","file_name":"fulltext.pdf","download_url":"https://www.academia.edu/attachments/116799641/download_file","bulk_download_file_name":"Population_of_Rydberg_states_by_electron.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799641/fulltext-libre.pdf?1721041250=\u0026response-content-disposition=attachment%3B+filename%3DPopulation_of_Rydberg_states_by_electron.pdf\u0026Expires=1740583586\u0026Signature=WiZKnUeeWWFL9piSHCD8Z407LmjzjKjbeVfCYxvGL7CEouglUs4Rgf1jn8uRwpUvZ-MQ2JlHNlbVeKLDia5K282UcqF~4UUXA0W1aDz7SL44XmPvDPSeVpEs-s5DfwbzZeW9owPBzI4ZggofJbDd5zpCDC-ewAp2GAbx-oqu7b06qXuYt9W53LbI-kUiz-firpr5mC2Epio3v0y66kvIjMh8Rg-azFBL7rsNYnbGzDWwgzeQmw9U0EdFceALMYUOb8Dv8GhSNXyCnUWs-9aWH-bUPMobtsFGSgkTuuWFQPRspfJpS9V~rl2U8oJicRLl3dPs5zG0v9gwPAr3LU76~g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062103"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O"><img alt="Research paper thumbnail of Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O" class="work-thumbnail" src="https://attachments.academia-assets.com/116799640/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O">Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O</a></div><div class="wp-workCard_item"><span>Physics of Electronic and Atomic Collisions: ICPEAC IX</span><span>, 1975</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">N, O is a linear triatomic molecule. Electron scattering shows a 'X+ shape resonance at-2, 3 eV. ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">N, O is a linear triatomic molecule. Electron scattering shows a 'X+ shape resonance at-2, 3 eV. The lifetime turns out to be so short, 0.9)& 10 " sec, that one has an impulse picture, in which the nuclei acquire velocity but suA'er little displacement during the residence of the projectile electron. The nuclear wave equation at the resonance is solved in the impulse approximation, and is shown to give a good account of the excitation of more than 20 vibrational states observed by Azria, Wong, and Schulz.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="abf0ebdd4746bb4e0f8beda1dcc20539" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799640,"asset_id":122062103,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799640/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062103"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062103"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062103; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062103]").text(description); $(".js-view-count[data-work-id=122062103]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062103; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062103']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "abf0ebdd4746bb4e0f8beda1dcc20539" } } $('.js-work-strip[data-work-id=122062103]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062103,"title":"Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O","internal_url":"https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799640,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799640/thumbnails/1.jpg","file_name":"fulltext.pdf","download_url":"https://www.academia.edu/attachments/116799640/download_file","bulk_download_file_name":"Resonant_Electron_Molecule_Scattering_Th.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799640/fulltext-libre.pdf?1721041259=\u0026response-content-disposition=attachment%3B+filename%3DResonant_Electron_Molecule_Scattering_Th.pdf\u0026Expires=1740583586\u0026Signature=M7Qh4Q8IK-3cngHev1g2Qf3wC4TGzKAuos~PaSFHsgWrJC2t2EaaJpJjdfZIGDUddOkYfrKHdxJ3wiWpjnIi11rY2~DOTWDd-aAdti4zI05d5Qz90h8PSwkmL5hFdjadlkLPn9s7Vs7RsFnDGH5oSat1qSJdveTmU8mojaoRqHCgbwuqDGUpuD--Ty7sdZsMbxaFUulFGBQwCfl-6~WXsU5Xl5AZxcwdvrm362W8n2kl8cHIkTrUXT2XfZ8gS14AnozUfvEBMKFVH-hos0E2kw053hE2wWPXz6x6MzOYFvJXHXXTfMF0AGP6-SdR~wmTpE5LxNwvb3vOjJI4kZ3duQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062102"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange"><img alt="Research paper thumbnail of Approximate evaluation of the second Born cross-section for charge exchange" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange">Approximate evaluation of the second Born cross-section for charge exchange</a></div><div class="wp-workCard_item"><span>Physics of Electronic and Atomic Collisions: ICPEAC XI</span><span>, 1979</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062102"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062102"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062102; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062102]").text(description); $(".js-view-count[data-work-id=122062102]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062102; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062102']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062102]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062102,"title":"Approximate evaluation of the second Born cross-section for charge exchange","internal_url":"https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062101"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos"><img alt="Research paper thumbnail of The control of hamiltonian chaos" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos">The control of hamiltonian chaos</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An operational definition of chaos is helpful to appreciate Dyson’s assertion. In our presentatio...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">An operational definition of chaos is helpful to appreciate Dyson’s assertion. In our presentation, deterministic chaos has a technical and precise meaning and despite a lack of a universal definition, most researchers would agree that it could be described as follows: Chaos is a long-term aperiodic behavior of a dynamical system that possesses the property of sensitivity to initial conditions. – long-term aperiodic behavior means that regularity (periodicity or quasi-periodicity) of the motion is absent. – dynamical system indicates that determinism is present and that the source of the irregularity is inherent to that determinism and not to be found in a stochastic component. – sensitivity to initial conditions implies that a very small deviation in the initial conditions is sufficient to create large deviations in the future states (the so-called “butterfly effect”), i.e. despite the presence of determinism, practical long-term predictability is lost. This is the type of motion that Dyson had in mind. It is not new of course and it is clear that Maxwell and Boltzmann, the founders of statistical physics, were acutely aware of the property of sensitivity to initial conditions and its consequences. Not before Poincaré [2] could one ascertain the existence of this property in a system with few degrees of freedom, namely the reduced 3-body problem. It was not until 1990 however that Ott, Grebogi and Yorke (OGY) [3] addressed the question of control of chaos and described the theoretical steps necessary to achieve this goal. This method was very much in the spirit of von Neumann who imagined as early as 1950, that ‘ ‘ every unstable motion could be nudged into a stable motion by small pushes and pulls applied at the right places” [1]. The theoretical OGY work was rapidly followed by experimental verification [3]: von Neumann’s dream had become reality. This brief report describes some practical implementations for the recovery of order from chaos. Our examples are from the realm of conservative (Hamiltonian) systems. They are chosen because they have been much less studied than their dissipative counterparts, because their mixed (regular and chaotic) phase space offers new challenges to the standard control schemes and because of the growing evidence that the mere existence of Hamiltonian chaos [4] may shed new light on the foundations of statistical physics [5]. The stabilization of their chaotic behavior offers new grounds for a fascinating adventure. Many reviews on the control of chaos have appeared in the last few years and the reader may wish to consult the partial list given in [6].</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062101"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062101"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062101; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062101]").text(description); $(".js-view-count[data-work-id=122062101]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062101; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062101']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062101]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062101,"title":"The control of hamiltonian chaos","internal_url":"https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062100"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids"><img alt="Research paper thumbnail of Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids">Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids</a></div><div class="wp-workCard_item"><span>Nucleation and Atmospheric Aerosols</span><span>, 2000</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Experimental studies of the production and transport of projectile excited states in solid carbon...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Experimental studies of the production and transport of projectile excited states in solid carbon targets have been performed for Ar17+ and Kr35+ at high velocity (respectively vp=23 and 35.6 a.u.). A range of target thickness from single collision condition to equilibrium has been investigated. Charge state distributions, nl populations of core and Rydberg projectile states, as well as the population of fine structure substates (nlj) are determined. Theoretical predictions have been developed both in a collisional and a dynamical screening picture, using quantum as well as classical descriptions for the transport of projectile excited states. Discussions based on a comparison between experimental results and the different types of calculations are presented.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062100"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062100"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062100; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062100]").text(description); $(".js-view-count[data-work-id=122062100]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062100; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062100']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062100]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062100,"title":"Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids","internal_url":"https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062098"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems"><img alt="Research paper thumbnail of Constrained growth of complex scale-independent systems" class="work-thumbnail" src="https://attachments.academia-assets.com/116799596/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems">Constrained growth of complex scale-independent systems</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Mar 3, 2016</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distr...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock actions all feature scale independence. Assuming that they simply do, we focus here on describing how this behavior emerges, in contrast to more idealized models usually considered. We arrive at the conjecture that a minimal model to explain the growth towards scale independence involves only two coupled dynamical features: the first is the well-known preferential attachment principle and the second is a general form of delayed temporal scaling. While the first is sufficient, the second is present in all studied data and appears to maximize the speed of convergence to true scale independence. The delay in this temporal scaling acts as a coupling between population growth and individual activity. Together, these two dynamical properties appear to pave a precise evolution path, such that even an instantaneous snapshot of a distribution is enough to reconstruct the past of the system and predict its future. We validate our approach and confirm its usefulness on diverse spheres of human activities ranging from scientific and artistic productivity, to sexual relations and online traffic.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="adc3b565c8eb4da87b246bcb858e62ca" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799596,"asset_id":122062098,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799596/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062098"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062098"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062098; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062098]").text(description); $(".js-view-count[data-work-id=122062098]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062098; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062098']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "adc3b565c8eb4da87b246bcb858e62ca" } } $('.js-work-strip[data-work-id=122062098]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062098,"title":"Constrained growth of complex scale-independent systems","internal_url":"https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799596,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799596/thumbnails/1.jpg","file_name":"1310.pdf","download_url":"https://www.academia.edu/attachments/116799596/download_file","bulk_download_file_name":"Constrained_growth_of_complex_scale_inde.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799596/1310-libre.pdf?1721041289=\u0026response-content-disposition=attachment%3B+filename%3DConstrained_growth_of_complex_scale_inde.pdf\u0026Expires=1740583586\u0026Signature=hQbjAOWqQ8h~hqhQxwyYx5~oHiM7GYHn4~1vTGbfZxMchMtSnsJC-Wy4A0SDlzl~0BBKSjYEBUnnmQokmQpj6FWjjUOMxoYgjNJqQCM4huxM1uRj8VWI~h17aUrtehW2AiGLx~Rjhr8S6BRxN4-4z5~PSZo7Axt06c71jOv6aS24ybGlJPdBFc6Q~yBMhfilHTAiNmy9SgATmypbRWlFIWWxI0BEf1lfBb3MOaY5Brsz065qrYb-3loSRkZ~VmF4BE7Z-u8UHhSBa2MSKzg5J-ZfEQDLD7UjwaovOeBEhHbLAkZowni28g2w-zaSXrEVYy5XqYEd0zunfv72EVZQqA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062097"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets"><img alt="Research paper thumbnail of Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets" class="work-thumbnail" src="https://attachments.academia-assets.com/116799639/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets">Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets</a></div><div class="wp-workCard_item"><span>Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms</span><span>, Jul 1, 1985</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this joint theoretical and experimental effort, we examine in detail the capture channel in co...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this joint theoretical and experimental effort, we examine in detail the capture channel in collisions of multiply charged projectiles with light targets. We report new high-resolution photon-spectroscopic results of electron capture of energetic (2-5 MeV) C4+ ions with H, and He, from which we extract specific (n, I) capture cross sections. The present study extends our previous work and demonstrates anew the superiority of the multiple scattering theories, here that of the continuum distorted wave (CDW) calculations, to describe the capture process. The multiple scattering contributions (absent in the usual first (single scattering) and second (single and double scattering) Born approximation) are shown to be important not only for the absolute magnitudes but also for the relative populations of the final states.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fe2002123450e3f4e30ee7fa28be5c8a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799639,"asset_id":122062097,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799639/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062097"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062097"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062097; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062097]").text(description); $(".js-view-count[data-work-id=122062097]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062097; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062097']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fe2002123450e3f4e30ee7fa28be5c8a" } } $('.js-work-strip[data-work-id=122062097]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062097,"title":"Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets","internal_url":"https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062096"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets"><img alt="Research paper thumbnail of Total charge transfer cross sections for 400 MeV bare Fe<sup>26+</sup>ions colliding with He, N<sub>2</sub>, Ne and Ar targets" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets">Total charge transfer cross sections for 400 MeV bare Fe<sup>26+</sup>ions colliding with He, N<sub>2</sub>, Ne and Ar targets</a></div><div class="wp-workCard_item"><span>Journal of physics</span><span>, Jan 28, 1984</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The authors have measured total cross sections for electron transfer between 400 MeV bare Fe 26+ ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The authors have measured total cross sections for electron transfer between 400 MeV bare Fe 26+ ions and He, N 2, Ne and Ar targets, corresponding to intermediate to high reduced velocities, 1&lt; or= nu/nu i, f&lt; or= 10 (nu is the incident projectile velocity and nu i, f are the ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062096"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062096"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062096; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062096]").text(description); $(".js-view-count[data-work-id=122062096]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062096; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062096']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062096]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062096,"title":"Total charge transfer cross sections for 400 MeV bare Fe\u003csup\u003e26+\u003c/sup\u003eions colliding with He, N\u003csub\u003e2\u003c/sub\u003e, Ne and Ar targets","internal_url":"https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062095"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks"><img alt="Research paper thumbnail of Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks" class="work-thumbnail" src="https://attachments.academia-assets.com/116799594/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks">Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Mar 1, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Simple models of infectious diseases tend to assume random mixing of individuals, but real intera...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Simple models of infectious diseases tend to assume random mixing of individuals, but real interactions are not random pairwise encounters: they occur within various types of gatherings such as workplaces, households, schools, and concerts, best described by a higher-order network structure. We model contagions on higherorder networks using group-based approximate master equations, in which we track all states and interactions within a group of nodes and assume a mean-field coupling between them. Using the Susceptible-Infected-Susceptible dynamics, our approach reveals the existence of a mesoscopic localization regime, where a disease can concentrate and self-sustain only around large groups in the network overall organization. In this regime, the phase transition is smeared, characterized by an inhomogeneous activation of the groups. At the mesoscopic level, we observe that the distribution of infected nodes within groups of a same size can be very dispersed, even bimodal. When considering heterogeneous networks, both at the level of nodes and groups, we characterize analytically the region associated with mesoscopic localization in the structural parameter space. We put in perspective this phenomenon with eigenvector localization and discuss how a focus on higher-order structures is needed to discern the more subtle localization at the mesoscopic level. Finally, we discuss how mesoscopic localization affects the response to structural interventions and how this framework could provide important insights for a broad range of dynamics.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bc2a82d45cb7856bc220a8e06eb948fb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799594,"asset_id":122062095,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799594/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062095"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062095"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062095; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062095]").text(description); $(".js-view-count[data-work-id=122062095]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062095; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062095']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bc2a82d45cb7856bc220a8e06eb948fb" } } $('.js-work-strip[data-work-id=122062095]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062095,"title":"Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks","internal_url":"https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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This amplitude contains the correct double-scattering form at asymptotically high velocities and the cross section for charge transfer may be obtained by a single numerical integration. The transfer 1s to nlm is presented as a particular example and analytic forms for the asymptotic cross section are derived in this case.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062094"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062094"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062094; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062094]").text(description); $(".js-view-count[data-work-id=122062094]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062094; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062094']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062094]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062094,"title":"The second Born approximation to the electron transfer cross section","internal_url":"https://www.academia.edu/122062094/The_second_Born_approximation_to_the_electron_transfer_cross_section","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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ADVANCES IN ATOMIC, MOLECULAR, AND OPTICAL PHYSICS, VOL. 30 CONTINUUM DISTORTED WAVE ME...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Page 297. ADVANCES IN ATOMIC, MOLECULAR, AND OPTICAL PHYSICS, VOL. 30 CONTINUUM DISTORTED WAVE METHODS IN ION-ATOM COLLISIONS DERRICKS. F. CROTHERS Department of Applied Mathematics ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062093"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062093"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062093; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062093]").text(description); $(".js-view-count[data-work-id=122062093]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062093; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062093']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062093]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062093,"title":"Continuum Distorted Wave Methods in Ion—Atom Collisions","internal_url":"https://www.academia.edu/122062093/Continuum_Distorted_Wave_Methods_in_Ion_Atom_Collisions","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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Some calculable approximations" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062092/Multiple_scattering_approaches_to_the_electron_transfer_process_I_Some_calculable_approximations">Multiple-scattering approaches to the electron transfer process. I. Some calculable approximations</a></div><div class="wp-workCard_item"><span>Journal of physics</span><span>, Feb 28, 1984</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Explicit expressions for capture of an electron to and from arbitrary hydrogenic states are prese...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Explicit expressions for capture of an electron to and from arbitrary hydrogenic states are presented for various multiple-scattering approaches, namely approximate forms of the strong-potential Born (SPB) and impulse approximations (IA) as well as the continuum distorted-wave (CDW) approximation. In the latter case, however, the authors limit the calculation to an initial 1s state. The transition amplitudes are reduced in all cases to closed-form analytical formulae leaving a single numerical integration to obtain the capture cross sections. The author discusses some symmetry and scaling properties of the post (+) and prior (-) forms of the different methods and, as a first application of the newly gained analytical amplitudes, the author extracts some new asymptotic results. The necessary mathematical tools for the evaluation of a common matrix element appearing in the SPB, IA and CDW are provided in an appendix, where it is shown how the relevant transition amplitudes can all be obtained from one generating integral.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062092"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062092"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062092; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062092]").text(description); $(".js-view-count[data-work-id=122062092]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062092; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062092']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062092]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062092,"title":"Multiple-scattering approaches to the electron transfer process. I. Some calculable approximations","internal_url":"https://www.academia.edu/122062092/Multiple_scattering_approaches_to_the_electron_transfer_process_I_Some_calculable_approximations","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="17104225" id="papers"><div class="js-work-strip profile--work_container" data-work-id="122062113"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV"><img alt="Research paper thumbnail of Rotational excitation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>by electron impact: 1-4 eV" class="work-thumbnail" src="https://attachments.academia-assets.com/116799642/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV">Rotational excitation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>by electron impact: 1-4 eV</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Feb 1, 1978</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Rotational and rotational-vibrational (v = 0-+1) excitation in N2 have been studied with a crosse...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Rotational and rotational-vibrational (v = 0-+1) excitation in N2 have been studied with a crossed-beam electron-impact apparatus. In the energy range 1-4 eV, the elastic and vib'rational energy-loss peaks show large rotational broadening compared with the apparatus profile (full width at half-maximum, 18 meV). The branching ratios for rotational transitions with hj = 0, + 2, + 4 are obtained with a line-shape analysis applied to the energy-loss profiles. The results for rotational-vibrational excitation at 2.27 eV and scattering angles 30-90' are in good agreement with the calculations using the resonant de waves and the rotational impulse approximation. The corresponding results for pure rotational excitation show that the branches with hj = + 2 arid + 4 are predominantly excited via resonances, while the branch with Aj = 0 contains a large contribution from direct scattering. The absolute rotational cross sections for hj = + 4 are measured; they exhibit a large magnitude (10 ' cm'). and peak and valley structures in the 1-4 eV range, reminiscent of well-known resonant vibrational excitation. The energy dependence and the absolute magnitude of the rotational cross sections for hj = + 4. can be understood in terms of a "boomerang" calculation. A comparison of the experiment with the relevant theoretical calculations is made.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4b05b61d8e9a42820b5c9030598bd5e7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799642,"asset_id":122062113,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799642/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062113"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062113"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062113; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062113]").text(description); $(".js-view-count[data-work-id=122062113]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062113; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062113']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "4b05b61d8e9a42820b5c9030598bd5e7" } } $('.js-work-strip[data-work-id=122062113]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062113,"title":"Rotational excitation of\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eN\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eby electron impact: 1-4 eV","internal_url":"https://www.academia.edu/122062113/Rotational_excitation_of_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mrow_mml_msub_mml_mrow_mml_mi_mathvariant_normal_N_mml_mi_mml_mrow_mml_mrow_mml_mn_2_mml_mn_mml_mrow_mml_msub_mml_mrow_mml_math_by_electron_impact_1_4_eV","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799642,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799642/thumbnails/1.jpg","file_name":"fulltext.pdf","download_url":"https://www.academia.edu/attachments/116799642/download_file","bulk_download_file_name":"Rotational_excitation_of_mml_math_xmlns.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799642/fulltext-libre.pdf?1721041256=\u0026response-content-disposition=attachment%3B+filename%3DRotational_excitation_of_mml_math_xmlns.pdf\u0026Expires=1740526436\u0026Signature=S~Pm-FSyX7pJR~SNx55n1S6xYke2azxBzTSQPNhl2d9CXJeGE~YLrruLGthGRYKZLXVMtQFwEqBEZR8QViSa6CvYw71MruaK4U5RVCHUWJYR2drYDxejxKYusi3hAybHbHy9DVPAIYUPqydDZ~XTMT0itGSVo6GGcGsx1~i-mGfR455v8iNqPuw-ztpBsVZewiHejRwg~Xh3X-b0n9aOOg1zbSu03yTFcmahPAT1Lb9jxoJNCPlXaJfIIbT-MvLtTjEgrfIGWx08gi6WVtkl4W7WAZjLWBrFXWievfP1aqIZrUVwo34El-RGNDX~A3T50qHgJ92WLAYDe7WqLDxENA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062111"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach"><img alt="Research paper thumbnail of Dynamical substate mixing of fast ions in solids: a density matrix approach" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach">Dynamical substate mixing of fast ions in solids: a density matrix approach</a></div><div class="wp-workCard_item"><span>Journal of Physics B</span><span>, Sep 27, 1999</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062111"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062111"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062111; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062111]").text(description); $(".js-view-count[data-work-id=122062111]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062111; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062111']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062111]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062111,"title":"Dynamical substate mixing of fast ions in solids: a density matrix approach","internal_url":"https://www.academia.edu/122062111/Dynamical_substate_mixing_of_fast_ions_in_solids_a_density_matrix_approach","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062110"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks"><img alt="Research paper thumbnail of Social Confinement and Mesoscopic Localization of Epidemics on Networks" class="work-thumbnail" src="https://attachments.academia-assets.com/116799606/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks">Social Confinement and Mesoscopic Localization of Epidemics on Networks</a></div><div class="wp-workCard_item"><span>Physical Review Letters</span><span>, Mar 1, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Recommendations around epidemics tend to focus on individual behaviors, with much less efforts at...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Recommendations around epidemics tend to focus on individual behaviors, with much less efforts attempting to guide event cancellations and other collective behaviors since most models lack the higher-order structure necessary to describe large gatherings. Through a higher-order description of contagions on networks, we model the impact of a blanket cancellation of events larger than a critical size and find that epidemics can suddenly collapse when interventions operate over groups of individuals rather than at the level of individuals. We relate this phenomenon to the onset of mesoscopic localization, where contagions concentrate around dominant groups.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="478aaeeac29f3cb2499a3c24366dfb19" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799606,"asset_id":122062110,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799606/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062110"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062110"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062110; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062110]").text(description); $(".js-view-count[data-work-id=122062110]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062110; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062110']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "478aaeeac29f3cb2499a3c24366dfb19" } } $('.js-work-strip[data-work-id=122062110]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062110,"title":"Social Confinement and Mesoscopic Localization of Epidemics on Networks","internal_url":"https://www.academia.edu/122062110/Social_Confinement_and_Mesoscopic_Localization_of_Epidemics_on_Networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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In particular, we will demonstrate the ability to control chaos in realistic complex environments. Several applications will serve to illustrate the theory and to highlight its advantages and weaknesses. The presentation will end with a survey of possible generalizations and extensions of the basic formalism as well as a discussion of applications outside the field of the physical sciences. Future research avenues in this rapidly growing field will also be addressed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="6e55e6392017e64d412cbf3410c04133" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799605,"asset_id":122062109,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799605/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062109"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062109"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062109; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062109]").text(description); $(".js-view-count[data-work-id=122062109]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062109; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062109']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "6e55e6392017e64d412cbf3410c04133" } } $('.js-work-strip[data-work-id=122062109]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062109,"title":"The control of dynamical systems—recovering order from chaos—","internal_url":"https://www.academia.edu/122062109/The_control_of_dynamical_systems_recovering_order_from_chaos_","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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Research has long focused on why systems as varied as protein networks, evolution and stock actions all feature scale independence. Assuming that they simply do, we focus here on describing how this behavior emerges, in contrast to more idealized models usually considered. We arrive at the conjecture that a minimal model to explain the growth towards scale independence involves only two coupled dynamical features: the first is the well-known preferential attachment principle and the second is a general form of delayed temporal scaling. While the first is sufficient, the second is present in all studied data and appears to maximize the speed of convergence to true scale independence. The delay in this temporal scaling acts as a coupling between population growth and individual activity. Together, these two dynamical properties appear to pave a precise evolution path, such that even an instantaneous snapshot of a distribution is enough to reconstruct the past of the system and predict its future. We validate our approach and confirm its usefulness on diverse spheres of human activities ranging from scientific and artistic productivity, to sexual relations and online traffic.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="ad28fb1a429f22769a65e658305fe379" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799602,"asset_id":122062108,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799602/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062108"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062108"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062108; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062108]").text(description); $(".js-view-count[data-work-id=122062108]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062108; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062108']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "ad28fb1a429f22769a65e658305fe379" } } $('.js-work-strip[data-work-id=122062108]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062108,"title":"On the constrained growth of complex scale-independent systems","internal_url":"https://www.academia.edu/122062108/On_the_constrained_growth_of_complex_scale_independent_systems","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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The model comprises two complementary mechanisms: One mechanism accounts for the evolution of the internal link structure of a single community, and the second mechanism coordinates the growth of multiple overlapping communities. The first mechanism is based on the assumption that each node establishes links with its neighbors and introduces new nodes to the community at different rates. We demonstrate that this simple mechanism gives rise to an effective maximal degree within communities. This observation is related to the anthropological theory known as Dunbar's number, i.e., the empirical observation of a maximal number of ties which an average individual can sustain within its social groups. The second mechanism is based on a recently proposed generalization of preferential attachment to community structure, appropriately called structural preferential attachment (SPA). The combination of these two mechanisms into a single model (SPA+) allows us to reproduce a number of the global statistics of real networks: The distribution of community sizes, of node memberships and of degrees. The SPA+ model also predicts (a) three qualitative regimes for the degree distribution within overlapping communities and (b) strong correlations between the number of communities to which a node belongs and its number of connections within each community. We present empirical evidence that support our findings in real complex networks.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bbc05d22e509dfe15d9e6ae5d49e6bc1" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799600,"asset_id":122062107,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799600/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062107"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062107"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062107; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062107]").text(description); $(".js-view-count[data-work-id=122062107]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062107; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062107']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bbc05d22e509dfe15d9e6ae5d49e6bc1" } } $('.js-work-strip[data-work-id=122062107]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062107,"title":"Growing networks of overlapping communities with internal structure","internal_url":"https://www.academia.edu/122062107/Growing_networks_of_overlapping_communities_with_internal_structure","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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Howev...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">According to Mulder’s theory, the zombies will eventually fall on each other and make love. However, be it for love or evil, the cold hard reality remains that the actions of the undead, just as those of the living, are also structured by simple constraints of social or spatiotemporal nature. In this chapter, we improve upon the standard zombie outbreak model by considering the underlying social network of the living and the horde behaviour of the undead. This model is then further improved by considering the adaptive nature of social interactions: people usually tend to avoid contact with zombies. Doing so captures the coevolution of the human social network and of the zombie outbreak, which encourages humans to naturally barricade themselves in groups of survivors to better fight the undead menace. And then? Better stack goods, arm yourself and be patient, for the undead hordes are there to stay; hopefully dancing and making love.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062106"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062106"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062106; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062106]").text(description); $(".js-view-count[data-work-id=122062106]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062106; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062106']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062106]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062106,"title":"The social zombie : modelling undead outbreaks on social networks","internal_url":"https://www.academia.edu/122062106/The_social_zombie_modelling_undead_outbreaks_on_social_networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062105"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters"><img alt="Research paper thumbnail of Optimization of integrated polarization filters" class="work-thumbnail" src="https://attachments.academia-assets.com/116799599/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters">Optimization of integrated polarization filters</a></div><div class="wp-workCard_item"><span>Optics Letters</span><span>, Oct 1, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This study reports on the design of small footprint, integrated polarization filters based on eng...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This study reports on the design of small footprint, integrated polarization filters based on engineered photonic lattices. Using a rods-in-air lattice as a basis for a TE filter and a holes-in-slab lattice for the analogous TM filter, we are able to maximize the degree of polarization of the output beams up to 98 % with a transmission efficiency greater than 75 %. The proposed designs allow not only for logical polarization filtering, but can also be tailored to output an arbitrary transverse beam profile. The lattice configurations are found using a recently proposed parallel tabu search algorithm for combinatorial optimization problems in integrated photonics.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="606c9f27dbc1c64f35cf1cc1e2803ab2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799599,"asset_id":122062105,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799599/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062105"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062105"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062105; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062105]").text(description); $(".js-view-count[data-work-id=122062105]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062105; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062105']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "606c9f27dbc1c64f35cf1cc1e2803ab2" } } $('.js-work-strip[data-work-id=122062105]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062105,"title":"Optimization of integrated polarization filters","internal_url":"https://www.academia.edu/122062105/Optimization_of_integrated_polarization_filters","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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The standard CDW approximation is modified to account for finalstate Stark mixing of the Rydberg manifold in the exit channel using the post-collision-interaction model. The influence of multiple-scattering contributions is analyzed and comparison is made with o. I predicted by the Born approximation. We find that the double-scattering contribution, closely connected with the classical Thomas process, becomes visible in the CDW approximation at surprisingly low nonasymptotic velocities.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="cda23d6e36f4296a089c059e09ab1335" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799641,"asset_id":122062104,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799641/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062104"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062104"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062104; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062104]").text(description); $(".js-view-count[data-work-id=122062104]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062104; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062104']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "cda23d6e36f4296a089c059e09ab1335" } } $('.js-work-strip[data-work-id=122062104]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062104,"title":"Population of Rydberg states by electron capture in fast-ion–atom collisions","internal_url":"https://www.academia.edu/122062104/Population_of_Rydberg_states_by_electron_capture_in_fast_ion_atom_collisions","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799641,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799641/thumbnails/1.jpg","file_name":"fulltext.pdf","download_url":"https://www.academia.edu/attachments/116799641/download_file","bulk_download_file_name":"Population_of_Rydberg_states_by_electron.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799641/fulltext-libre.pdf?1721041250=\u0026response-content-disposition=attachment%3B+filename%3DPopulation_of_Rydberg_states_by_electron.pdf\u0026Expires=1740583586\u0026Signature=WiZKnUeeWWFL9piSHCD8Z407LmjzjKjbeVfCYxvGL7CEouglUs4Rgf1jn8uRwpUvZ-MQ2JlHNlbVeKLDia5K282UcqF~4UUXA0W1aDz7SL44XmPvDPSeVpEs-s5DfwbzZeW9owPBzI4ZggofJbDd5zpCDC-ewAp2GAbx-oqu7b06qXuYt9W53LbI-kUiz-firpr5mC2Epio3v0y66kvIjMh8Rg-azFBL7rsNYnbGzDWwgzeQmw9U0EdFceALMYUOb8Dv8GhSNXyCnUWs-9aWH-bUPMobtsFGSgkTuuWFQPRspfJpS9V~rl2U8oJicRLl3dPs5zG0v9gwPAr3LU76~g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062103"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O"><img alt="Research paper thumbnail of Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O" class="work-thumbnail" src="https://attachments.academia-assets.com/116799640/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O">Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O</a></div><div class="wp-workCard_item"><span>Physics of Electronic and Atomic Collisions: ICPEAC IX</span><span>, 1975</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">N, O is a linear triatomic molecule. Electron scattering shows a 'X+ shape resonance at-2, 3 eV. ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">N, O is a linear triatomic molecule. Electron scattering shows a 'X+ shape resonance at-2, 3 eV. The lifetime turns out to be so short, 0.9)& 10 " sec, that one has an impulse picture, in which the nuclei acquire velocity but suA'er little displacement during the residence of the projectile electron. The nuclear wave equation at the resonance is solved in the impulse approximation, and is shown to give a good account of the excitation of more than 20 vibrational states observed by Azria, Wong, and Schulz.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="abf0ebdd4746bb4e0f8beda1dcc20539" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799640,"asset_id":122062103,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799640/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062103"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062103"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062103; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062103]").text(description); $(".js-view-count[data-work-id=122062103]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062103; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062103']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "abf0ebdd4746bb4e0f8beda1dcc20539" } } $('.js-work-strip[data-work-id=122062103]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062103,"title":"Resonant Electron-Molecule Scattering: The Impulse Approximation on N 2 O","internal_url":"https://www.academia.edu/122062103/Resonant_Electron_Molecule_Scattering_The_Impulse_Approximation_on_N_2_O","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799640,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799640/thumbnails/1.jpg","file_name":"fulltext.pdf","download_url":"https://www.academia.edu/attachments/116799640/download_file","bulk_download_file_name":"Resonant_Electron_Molecule_Scattering_Th.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799640/fulltext-libre.pdf?1721041259=\u0026response-content-disposition=attachment%3B+filename%3DResonant_Electron_Molecule_Scattering_Th.pdf\u0026Expires=1740583586\u0026Signature=M7Qh4Q8IK-3cngHev1g2Qf3wC4TGzKAuos~PaSFHsgWrJC2t2EaaJpJjdfZIGDUddOkYfrKHdxJ3wiWpjnIi11rY2~DOTWDd-aAdti4zI05d5Qz90h8PSwkmL5hFdjadlkLPn9s7Vs7RsFnDGH5oSat1qSJdveTmU8mojaoRqHCgbwuqDGUpuD--Ty7sdZsMbxaFUulFGBQwCfl-6~WXsU5Xl5AZxcwdvrm362W8n2kl8cHIkTrUXT2XfZ8gS14AnozUfvEBMKFVH-hos0E2kw053hE2wWPXz6x6MzOYFvJXHXXTfMF0AGP6-SdR~wmTpE5LxNwvb3vOjJI4kZ3duQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062102"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange"><img alt="Research paper thumbnail of Approximate evaluation of the second Born cross-section for charge exchange" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange">Approximate evaluation of the second Born cross-section for charge exchange</a></div><div class="wp-workCard_item"><span>Physics of Electronic and Atomic Collisions: ICPEAC XI</span><span>, 1979</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062102"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062102"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062102; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062102]").text(description); $(".js-view-count[data-work-id=122062102]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062102; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062102']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062102]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062102,"title":"Approximate evaluation of the second Born cross-section for charge exchange","internal_url":"https://www.academia.edu/122062102/Approximate_evaluation_of_the_second_Born_cross_section_for_charge_exchange","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062101"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos"><img alt="Research paper thumbnail of The control of hamiltonian chaos" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos">The control of hamiltonian chaos</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An operational definition of chaos is helpful to appreciate Dyson’s assertion. In our presentatio...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">An operational definition of chaos is helpful to appreciate Dyson’s assertion. In our presentation, deterministic chaos has a technical and precise meaning and despite a lack of a universal definition, most researchers would agree that it could be described as follows: Chaos is a long-term aperiodic behavior of a dynamical system that possesses the property of sensitivity to initial conditions. – long-term aperiodic behavior means that regularity (periodicity or quasi-periodicity) of the motion is absent. – dynamical system indicates that determinism is present and that the source of the irregularity is inherent to that determinism and not to be found in a stochastic component. – sensitivity to initial conditions implies that a very small deviation in the initial conditions is sufficient to create large deviations in the future states (the so-called “butterfly effect”), i.e. despite the presence of determinism, practical long-term predictability is lost. This is the type of motion that Dyson had in mind. It is not new of course and it is clear that Maxwell and Boltzmann, the founders of statistical physics, were acutely aware of the property of sensitivity to initial conditions and its consequences. Not before Poincaré [2] could one ascertain the existence of this property in a system with few degrees of freedom, namely the reduced 3-body problem. It was not until 1990 however that Ott, Grebogi and Yorke (OGY) [3] addressed the question of control of chaos and described the theoretical steps necessary to achieve this goal. This method was very much in the spirit of von Neumann who imagined as early as 1950, that ‘ ‘ every unstable motion could be nudged into a stable motion by small pushes and pulls applied at the right places” [1]. The theoretical OGY work was rapidly followed by experimental verification [3]: von Neumann’s dream had become reality. This brief report describes some practical implementations for the recovery of order from chaos. Our examples are from the realm of conservative (Hamiltonian) systems. They are chosen because they have been much less studied than their dissipative counterparts, because their mixed (regular and chaotic) phase space offers new challenges to the standard control schemes and because of the growing evidence that the mere existence of Hamiltonian chaos [4] may shed new light on the foundations of statistical physics [5]. The stabilization of their chaotic behavior offers new grounds for a fascinating adventure. Many reviews on the control of chaos have appeared in the last few years and the reader may wish to consult the partial list given in [6].</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062101"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062101"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062101; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062101]").text(description); $(".js-view-count[data-work-id=122062101]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062101; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062101']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062101]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062101,"title":"The control of hamiltonian chaos","internal_url":"https://www.academia.edu/122062101/The_control_of_hamiltonian_chaos","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062100"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids"><img alt="Research paper thumbnail of Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids">Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids</a></div><div class="wp-workCard_item"><span>Nucleation and Atmospheric Aerosols</span><span>, 2000</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Experimental studies of the production and transport of projectile excited states in solid carbon...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Experimental studies of the production and transport of projectile excited states in solid carbon targets have been performed for Ar17+ and Kr35+ at high velocity (respectively vp=23 and 35.6 a.u.). A range of target thickness from single collision condition to equilibrium has been investigated. Charge state distributions, nl populations of core and Rydberg projectile states, as well as the population of fine structure substates (nlj) are determined. Theoretical predictions have been developed both in a collisional and a dynamical screening picture, using quantum as well as classical descriptions for the transport of projectile excited states. Discussions based on a comparison between experimental results and the different types of calculations are presented.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062100"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062100"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062100; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062100]").text(description); $(".js-view-count[data-work-id=122062100]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062100; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062100']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062100]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062100,"title":"Dynamical and collisional approaches to the transport of core and Rydberg projectile states in solids","internal_url":"https://www.academia.edu/122062100/Dynamical_and_collisional_approaches_to_the_transport_of_core_and_Rydberg_projectile_states_in_solids","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062098"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems"><img alt="Research paper thumbnail of Constrained growth of complex scale-independent systems" class="work-thumbnail" src="https://attachments.academia-assets.com/116799596/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems">Constrained growth of complex scale-independent systems</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Mar 3, 2016</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distr...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock actions all feature scale independence. Assuming that they simply do, we focus here on describing how this behavior emerges, in contrast to more idealized models usually considered. We arrive at the conjecture that a minimal model to explain the growth towards scale independence involves only two coupled dynamical features: the first is the well-known preferential attachment principle and the second is a general form of delayed temporal scaling. While the first is sufficient, the second is present in all studied data and appears to maximize the speed of convergence to true scale independence. The delay in this temporal scaling acts as a coupling between population growth and individual activity. Together, these two dynamical properties appear to pave a precise evolution path, such that even an instantaneous snapshot of a distribution is enough to reconstruct the past of the system and predict its future. We validate our approach and confirm its usefulness on diverse spheres of human activities ranging from scientific and artistic productivity, to sexual relations and online traffic.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="adc3b565c8eb4da87b246bcb858e62ca" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799596,"asset_id":122062098,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799596/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062098"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062098"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062098; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062098]").text(description); $(".js-view-count[data-work-id=122062098]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062098; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062098']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "adc3b565c8eb4da87b246bcb858e62ca" } } $('.js-work-strip[data-work-id=122062098]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062098,"title":"Constrained growth of complex scale-independent systems","internal_url":"https://www.academia.edu/122062098/Constrained_growth_of_complex_scale_independent_systems","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[{"id":116799596,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/116799596/thumbnails/1.jpg","file_name":"1310.pdf","download_url":"https://www.academia.edu/attachments/116799596/download_file","bulk_download_file_name":"Constrained_growth_of_complex_scale_inde.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/116799596/1310-libre.pdf?1721041289=\u0026response-content-disposition=attachment%3B+filename%3DConstrained_growth_of_complex_scale_inde.pdf\u0026Expires=1740583586\u0026Signature=hQbjAOWqQ8h~hqhQxwyYx5~oHiM7GYHn4~1vTGbfZxMchMtSnsJC-Wy4A0SDlzl~0BBKSjYEBUnnmQokmQpj6FWjjUOMxoYgjNJqQCM4huxM1uRj8VWI~h17aUrtehW2AiGLx~Rjhr8S6BRxN4-4z5~PSZo7Axt06c71jOv6aS24ybGlJPdBFc6Q~yBMhfilHTAiNmy9SgATmypbRWlFIWWxI0BEf1lfBb3MOaY5Brsz065qrYb-3loSRkZ~VmF4BE7Z-u8UHhSBa2MSKzg5J-ZfEQDLD7UjwaovOeBEhHbLAkZowni28g2w-zaSXrEVYy5XqYEd0zunfv72EVZQqA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062097"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets"><img alt="Research paper thumbnail of Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets" class="work-thumbnail" src="https://attachments.academia-assets.com/116799639/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets">Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets</a></div><div class="wp-workCard_item"><span>Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms</span><span>, Jul 1, 1985</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this joint theoretical and experimental effort, we examine in detail the capture channel in co...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this joint theoretical and experimental effort, we examine in detail the capture channel in collisions of multiply charged projectiles with light targets. We report new high-resolution photon-spectroscopic results of electron capture of energetic (2-5 MeV) C4+ ions with H, and He, from which we extract specific (n, I) capture cross sections. The present study extends our previous work and demonstrates anew the superiority of the multiple scattering theories, here that of the continuum distorted wave (CDW) calculations, to describe the capture process. The multiple scattering contributions (absent in the usual first (single scattering) and second (single and double scattering) Born approximation) are shown to be important not only for the absolute magnitudes but also for the relative populations of the final states.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fe2002123450e3f4e30ee7fa28be5c8a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799639,"asset_id":122062097,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799639/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062097"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062097"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062097; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062097]").text(description); $(".js-view-count[data-work-id=122062097]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062097; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062097']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fe2002123450e3f4e30ee7fa28be5c8a" } } $('.js-work-strip[data-work-id=122062097]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062097,"title":"Theory and experiment of electron capture in collisions of multiply charged projectiles with light targets","internal_url":"https://www.academia.edu/122062097/Theory_and_experiment_of_electron_capture_in_collisions_of_multiply_charged_projectiles_with_light_targets","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062096"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets"><img alt="Research paper thumbnail of Total charge transfer cross sections for 400 MeV bare Fe<sup>26+</sup>ions colliding with He, N<sub>2</sub>, Ne and Ar targets" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets">Total charge transfer cross sections for 400 MeV bare Fe<sup>26+</sup>ions colliding with He, N<sub>2</sub>, Ne and Ar targets</a></div><div class="wp-workCard_item"><span>Journal of physics</span><span>, Jan 28, 1984</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The authors have measured total cross sections for electron transfer between 400 MeV bare Fe 26+ ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The authors have measured total cross sections for electron transfer between 400 MeV bare Fe 26+ ions and He, N 2, Ne and Ar targets, corresponding to intermediate to high reduced velocities, 1&lt; or= nu/nu i, f&lt; or= 10 (nu is the incident projectile velocity and nu i, f are the ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062096"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062096"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062096; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062096]").text(description); $(".js-view-count[data-work-id=122062096]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062096; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062096']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062096]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062096,"title":"Total charge transfer cross sections for 400 MeV bare Fe\u003csup\u003e26+\u003c/sup\u003eions colliding with He, N\u003csub\u003e2\u003c/sub\u003e, Ne and Ar targets","internal_url":"https://www.academia.edu/122062096/Total_charge_transfer_cross_sections_for_400_MeV_bare_Fe_sup_26_sup_ions_colliding_with_He_N_sub_2_sub_Ne_and_Ar_targets","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062095"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks"><img alt="Research paper thumbnail of Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks" class="work-thumbnail" src="https://attachments.academia-assets.com/116799594/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks">Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks</a></div><div class="wp-workCard_item"><span>Physical review</span><span>, Mar 1, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Simple models of infectious diseases tend to assume random mixing of individuals, but real intera...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Simple models of infectious diseases tend to assume random mixing of individuals, but real interactions are not random pairwise encounters: they occur within various types of gatherings such as workplaces, households, schools, and concerts, best described by a higher-order network structure. We model contagions on higherorder networks using group-based approximate master equations, in which we track all states and interactions within a group of nodes and assume a mean-field coupling between them. Using the Susceptible-Infected-Susceptible dynamics, our approach reveals the existence of a mesoscopic localization regime, where a disease can concentrate and self-sustain only around large groups in the network overall organization. In this regime, the phase transition is smeared, characterized by an inhomogeneous activation of the groups. At the mesoscopic level, we observe that the distribution of infected nodes within groups of a same size can be very dispersed, even bimodal. When considering heterogeneous networks, both at the level of nodes and groups, we characterize analytically the region associated with mesoscopic localization in the structural parameter space. We put in perspective this phenomenon with eigenvector localization and discuss how a focus on higher-order structures is needed to discern the more subtle localization at the mesoscopic level. Finally, we discuss how mesoscopic localization affects the response to structural interventions and how this framework could provide important insights for a broad range of dynamics.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="bc2a82d45cb7856bc220a8e06eb948fb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":116799594,"asset_id":122062095,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/116799594/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062095"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062095"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062095; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062095]").text(description); $(".js-view-count[data-work-id=122062095]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062095; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062095']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "bc2a82d45cb7856bc220a8e06eb948fb" } } $('.js-work-strip[data-work-id=122062095]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062095,"title":"Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks","internal_url":"https://www.academia.edu/122062095/Master_equation_analysis_of_mesoscopic_localization_in_contagion_dynamics_on_higher_order_networks","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. 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This amplitude contains the correct double-scattering form at asymptotically high velocities and the cross section for charge transfer may be obtained by a single numerical integration. The transfer 1s to nlm is presented as a particular example and analytic forms for the asymptotic cross section are derived in this case.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062094"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062094"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062094; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062094]").text(description); $(".js-view-count[data-work-id=122062094]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062094; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062094']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062094]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062094,"title":"The second Born approximation to the electron transfer cross section","internal_url":"https://www.academia.edu/122062094/The_second_Born_approximation_to_the_electron_transfer_cross_section","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062093"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062093/Continuum_Distorted_Wave_Methods_in_Ion_Atom_Collisions"><img alt="Research paper thumbnail of Continuum Distorted Wave Methods in Ion—Atom Collisions" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062093/Continuum_Distorted_Wave_Methods_in_Ion_Atom_Collisions">Continuum Distorted Wave Methods in Ion—Atom Collisions</a></div><div class="wp-workCard_item"><span>Advances in Atomic Molecular and Optical Physics</span><span>, 1992</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Page 297. ADVANCES IN ATOMIC, MOLECULAR, AND OPTICAL PHYSICS, VOL. 30 CONTINUUM DISTORTED WAVE ME...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Page 297. ADVANCES IN ATOMIC, MOLECULAR, AND OPTICAL PHYSICS, VOL. 30 CONTINUUM DISTORTED WAVE METHODS IN ION-ATOM COLLISIONS DERRICKS. F. CROTHERS Department of Applied Mathematics ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062093"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062093"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062093; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062093]").text(description); $(".js-view-count[data-work-id=122062093]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062093; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062093']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062093]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062093,"title":"Continuum Distorted Wave Methods in Ion—Atom Collisions","internal_url":"https://www.academia.edu/122062093/Continuum_Distorted_Wave_Methods_in_Ion_Atom_Collisions","owner_id":143525165,"coauthors_can_edit":true,"owner":{"id":143525165,"first_name":"Louis J.","middle_initials":null,"last_name":"Dubé","page_name":"LouisJDubé","domain_name":"ulaval","created_at":"2020-01-27T02:40:51.819-08:00","display_name":"Louis J. Dubé","url":"https://ulaval.academia.edu/LouisJDub%C3%A9"},"attachments":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="122062092"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/122062092/Multiple_scattering_approaches_to_the_electron_transfer_process_I_Some_calculable_approximations"><img alt="Research paper thumbnail of Multiple-scattering approaches to the electron transfer process. I. Some calculable approximations" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/122062092/Multiple_scattering_approaches_to_the_electron_transfer_process_I_Some_calculable_approximations">Multiple-scattering approaches to the electron transfer process. I. Some calculable approximations</a></div><div class="wp-workCard_item"><span>Journal of physics</span><span>, Feb 28, 1984</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Explicit expressions for capture of an electron to and from arbitrary hydrogenic states are prese...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Explicit expressions for capture of an electron to and from arbitrary hydrogenic states are presented for various multiple-scattering approaches, namely approximate forms of the strong-potential Born (SPB) and impulse approximations (IA) as well as the continuum distorted-wave (CDW) approximation. In the latter case, however, the authors limit the calculation to an initial 1s state. The transition amplitudes are reduced in all cases to closed-form analytical formulae leaving a single numerical integration to obtain the capture cross sections. The author discusses some symmetry and scaling properties of the post (+) and prior (-) forms of the different methods and, as a first application of the newly gained analytical amplitudes, the author extracts some new asymptotic results. The necessary mathematical tools for the evaluation of a common matrix element appearing in the SPB, IA and CDW are provided in an appendix, where it is shown how the relevant transition amplitudes can all be obtained from one generating integral.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="122062092"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="122062092"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 122062092; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=122062092]").text(description); $(".js-view-count[data-work-id=122062092]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 122062092; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='122062092']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=122062092]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":122062092,"title":"Multiple-scattering approaches to the electron transfer process. 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