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href="https://www.academia.edu/Documents/in/Mandelbrot_Set">Mandelbrot Set</a><script data-card-contents-for-ri="117470" type="text/json">{"id":117470,"name":"Mandelbrot Set","url":"https://www.academia.edu/Documents/in/Mandelbrot_Set?f_ri=318","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=66448366]'), work: {"id":66448366,"title":"Symbolic sequences of one-dimensional quadratic maps points","created_at":"2021-12-29T14:58:34.143-08:00","url":"https://www.academia.edu/66448366/Symbolic_sequences_of_one_dimensional_quadratic_maps_points?f_ri=318","dom_id":"work_66448366","summary":null,"downloadable_attachments":[{"id":77635232,"asset_id":66448366,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":183116283,"first_name":"Fausto","last_name":"Montoya","domain_name":"independent","page_name":"FaustoMontoya3","display_name":"Fausto 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It is shown that such process can be realized only for some special choice of a potential energy, in... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_76130983" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The possible process of creation/annihilation of traversable wormholes in the model with phantom (ghost) scalar field is described. It is shown that such process can be realized only for some special choice of a potential energy, in particular, for the Sine-Gordon potential.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/76130983" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0385d8c1286e8ac48a083604c619a519" rel="nofollow" data-download="{"attachment_id":83799790,"asset_id":76130983,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/83799790/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="3431982" href="https://kaznu.academia.edu/VladimirDzhunushaliev">Vladimir Dzhunushaliev</a><script data-card-contents-for-user="3431982" type="text/json">{"id":3431982,"first_name":"Vladimir","last_name":"Dzhunushaliev","domain_name":"kaznu","page_name":"VladimirDzhunushaliev","display_name":"Vladimir Dzhunushaliev","profile_url":"https://kaznu.academia.edu/VladimirDzhunushaliev?f_ri=318","photo":"https://0.academia-photos.com/3431982/46344940/35842215/s65_vladimir.dzhunushaliev.jpg"}</script></span></span></li><li class="js-paper-rank-work_76130983 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="76130983"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 76130983, container: ".js-paper-rank-work_76130983", }); 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It is shown that such process can be realized only for some special choice of a potential energy, in particular, for the Sine-Gordon potential.","downloadable_attachments":[{"id":83799790,"asset_id":76130983,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":3431982,"first_name":"Vladimir","last_name":"Dzhunushaliev","domain_name":"kaznu","page_name":"VladimirDzhunushaliev","display_name":"Vladimir Dzhunushaliev","profile_url":"https://kaznu.academia.edu/VladimirDzhunushaliev?f_ri=318","photo":"https://0.academia-photos.com/3431982/46344940/35842215/s65_vladimir.dzhunushaliev.jpg"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=318","nofollow":false},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=318","nofollow":false},{"id":817383,"name":"Wormholes","url":"https://www.academia.edu/Documents/in/Wormholes?f_ri=318","nofollow":false},{"id":1435495,"name":"Potential Energy","url":"https://www.academia.edu/Documents/in/Potential_Energy?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_72386633" data-work_id="72386633" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/72386633/Generalized_observers_and_velocity_measurements_in_general_relativity">Generalized observers and velocity measurements in general relativity</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">To resolve some unphysical interpretations related to velocity measurements by static observers, we discuss the use of generalized observer sets, give a prescription for defining the speed of test particles relative to these observers,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_72386633" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">To resolve some unphysical interpretations related to velocity measurements by static observers, we discuss the use of generalized observer sets, give a prescription for defining the speed of test particles relative to these observers, and show that, for any locally inertial frame, the speed of a freely falling material particle is always less than the speed of light at the Schwarzschild black hole surface. 2 1</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/72386633" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="905b08d448cadd6d3174d56d98473041" rel="nofollow" data-download="{"attachment_id":81332561,"asset_id":72386633,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/81332561/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="113711323" href="https://lisboa.academia.edu/PauloCrawford">Paulo Crawford</a><script data-card-contents-for-user="113711323" type="text/json">{"id":113711323,"first_name":"Paulo","last_name":"Crawford","domain_name":"lisboa","page_name":"PauloCrawford","display_name":"Paulo Crawford","profile_url":"https://lisboa.academia.edu/PauloCrawford?f_ri=318","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_72386633 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="72386633"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 72386633, container: ".js-paper-rank-work_72386633", }); 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$(".js-view-count[data-work-id=72386633]").text(description); $(".js-view-count-work_72386633").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_72386633").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="72386633"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="318" href="https://www.academia.edu/Documents/in/Mathematical_Physics">Mathematical Physics</a>, <script data-card-contents-for-ri="318" type="text/json">{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="498" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="518" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3504" href="https://www.academia.edu/Documents/in/General_Relativity">General Relativity</a><script data-card-contents-for-ri="3504" type="text/json">{"id":3504,"name":"General Relativity","url":"https://www.academia.edu/Documents/in/General_Relativity?f_ri=318","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=72386633]'), work: {"id":72386633,"title":"Generalized observers and velocity measurements in general relativity","created_at":"2022-02-24T01:36:31.209-08:00","url":"https://www.academia.edu/72386633/Generalized_observers_and_velocity_measurements_in_general_relativity?f_ri=318","dom_id":"work_72386633","summary":"To resolve some unphysical interpretations related to velocity measurements by static observers, we discuss the use of generalized observer sets, give a prescription for defining the speed of test particles relative to these observers, and show that, for any locally inertial frame, the speed of a freely falling material particle is always less than the speed of light at the Schwarzschild black hole surface. 2 1","downloadable_attachments":[{"id":81332561,"asset_id":72386633,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":113711323,"first_name":"Paulo","last_name":"Crawford","domain_name":"lisboa","page_name":"PauloCrawford","display_name":"Paulo Crawford","profile_url":"https://lisboa.academia.edu/PauloCrawford?f_ri=318","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=318","nofollow":false},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=318","nofollow":false},{"id":3504,"name":"General Relativity","url":"https://www.academia.edu/Documents/in/General_Relativity?f_ri=318","nofollow":false},{"id":154543,"name":"Space Time","url":"https://www.academia.edu/Documents/in/Space_Time?f_ri=318"},{"id":222327,"name":"Reference Frame","url":"https://www.academia.edu/Documents/in/Reference_Frame?f_ri=318"},{"id":235060,"name":"Black Hole","url":"https://www.academia.edu/Documents/in/Black_Hole?f_ri=318"},{"id":677240,"name":"Speed of Light","url":"https://www.academia.edu/Documents/in/Speed_of_Light?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_70684534" data-work_id="70684534" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/70684534/Contextuality_by_Default_description_of_Bell_tests_Contextuality_as_the_rule_not_as_an_exception">Contextuality-by-Default description of Bell tests: Contextuality as the rule not as an exception</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Contextuality and entanglement are valuable resources for quantum computing and quantum information. Bell inequalities are used to certify entanglement; thus, it is important to understand why and how they are violated. Quantum mechanics... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_70684534" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Contextuality and entanglement are valuable resources for quantum computing and quantum information. Bell inequalities are used to certify entanglement; thus, it is important to understand why and how they are violated. Quantum mechanics and behavioral sciences teach us that random variables measuring the same content (the answer to the same Yes or No question) may vary, if measured jointly with other random variables. Alice and Bob raw data confirm Einsteinian non-signaling, but setting dependent experimental protocols are used to create samples of coupled pairs of distant outcomes and to estimate correlations. Marginal expectations, estimated using these final samples, depend on distant settings. Therefore, a system of random variables measured in Bell tests is inconsistently connected and it should be analyzed using a Contextuality-by-Default approach, what is done for the first time in this paper. The violation of Bell inequalities and inconsistent connectedness may be explained...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/70684534" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="093e7f3e3bb61de9a6d37ecbd11a8fe1" rel="nofollow" data-download="{"attachment_id":80331900,"asset_id":70684534,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/80331900/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="199682521" href="https://uqo.academia.edu/MarianKupczynski">Marian Kupczynski</a><script data-card-contents-for-user="199682521" type="text/json">{"id":199682521,"first_name":"Marian","last_name":"Kupczynski","domain_name":"uqo","page_name":"MarianKupczynski","display_name":"Marian Kupczynski","profile_url":"https://uqo.academia.edu/MarianKupczynski?f_ri=318","photo":"https://0.academia-photos.com/199682521/61337914/49613348/s65_marian.kupczynski.jpg"}</script></span></span></li><li class="js-paper-rank-work_70684534 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="70684534"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 70684534, container: ".js-paper-rank-work_70684534", }); 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Bell inequalities are used to certify entanglement; thus, it is important to understand why and how they are violated. Quantum mechanics and behavioral sciences teach us that random variables measuring the same content (the answer to the same Yes or No question) may vary, if measured jointly with other random variables. Alice and Bob raw data confirm Einsteinian non-signaling, but setting dependent experimental protocols are used to create samples of coupled pairs of distant outcomes and to estimate correlations. Marginal expectations, estimated using these final samples, depend on distant settings. Therefore, a system of random variables measured in Bell tests is inconsistently connected and it should be analyzed using a Contextuality-by-Default approach, what is done for the first time in this paper. The violation of Bell inequalities and inconsistent connectedness may be explained...","downloadable_attachments":[{"id":80331900,"asset_id":70684534,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":199682521,"first_name":"Marian","last_name":"Kupczynski","domain_name":"uqo","page_name":"MarianKupczynski","display_name":"Marian Kupczynski","profile_url":"https://uqo.academia.edu/MarianKupczynski?f_ri=318","photo":"https://0.academia-photos.com/199682521/61337914/49613348/s65_marian.kupczynski.jpg"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science?f_ri=318","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=318","nofollow":false},{"id":503,"name":"Theoretical 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href="https://www.academia.edu/Documents/in/Pipe_Flow">Pipe Flow</a><script data-card-contents-for-ri="188256" type="text/json">{"id":188256,"name":"Pipe Flow","url":"https://www.academia.edu/Documents/in/Pipe_Flow?f_ri=318","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=54862509]'), work: {"id":54862509,"title":"Note on heat transfer in laminar, fully developed pipe flow with axial conduction","created_at":"2021-10-02T08:47:19.707-07:00","url":"https://www.academia.edu/54862509/Note_on_heat_transfer_in_laminar_fully_developed_pipe_flow_with_axial_conduction?f_ri=318","dom_id":"work_54862509","summary":null,"downloadable_attachments":[{"id":71018441,"asset_id":54862509,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":15458734,"first_name":"ROBERT","last_name":"ASH","domain_name":"odu","page_name":"ROBERTASH","display_name":"ROBERT 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href="https://www.academia.edu/48289372/The_Superconducting_Ferromagnet_UCoGe">The Superconducting Ferromagnet UCoGe</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/48289372" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="bd3b0ac7afa22b4706d6ee65ecab6813" rel="nofollow" data-download="{"attachment_id":66980328,"asset_id":48289372,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" 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class="u-positionAbsolute" data-has-card-for-ri-list="48289372"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="318" href="https://www.academia.edu/Documents/in/Mathematical_Physics">Mathematical Physics</a>, <script data-card-contents-for-ri="318" type="text/json">{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="505" href="https://www.academia.edu/Documents/in/Condensed_Matter_Physics">Condensed Matter Physics</a>, <script data-card-contents-for-ri="505" type="text/json">{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="4107" href="https://www.academia.edu/Documents/in/High_Pressure">High Pressure</a>, <script data-card-contents-for-ri="4107" type="text/json">{"id":4107,"name":"High Pressure","url":"https://www.academia.edu/Documents/in/High_Pressure?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="60653" href="https://www.academia.edu/Documents/in/Transport_Properties">Transport Properties</a><script data-card-contents-for-ri="60653" type="text/json">{"id":60653,"name":"Transport Properties","url":"https://www.academia.edu/Documents/in/Transport_Properties?f_ri=318","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=48289372]'), work: {"id":48289372,"title":"The Superconducting Ferromagnet UCoGe","created_at":"2021-05-04T11:30:43.773-07:00","url":"https://www.academia.edu/48289372/The_Superconducting_Ferromagnet_UCoGe?f_ri=318","dom_id":"work_48289372","summary":null,"downloadable_attachments":[{"id":66980328,"asset_id":48289372,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":182431736,"first_name":"Alessia","last_name":"Gasparini","domain_name":"independent","page_name":"GaspariniAlessia","display_name":"Alessia Gasparini","profile_url":"https://independent.academia.edu/GaspariniAlessia?f_ri=318","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=318","nofollow":false},{"id":4107,"name":"High Pressure","url":"https://www.academia.edu/Documents/in/High_Pressure?f_ri=318","nofollow":false},{"id":60653,"name":"Transport Properties","url":"https://www.academia.edu/Documents/in/Transport_Properties?f_ri=318","nofollow":false},{"id":71115,"name":"Low Temperature Physics","url":"https://www.academia.edu/Documents/in/Low_Temperature_Physics?f_ri=318"},{"id":125513,"name":"Superconductors","url":"https://www.academia.edu/Documents/in/Superconductors?f_ri=318"},{"id":194223,"name":"Low","url":"https://www.academia.edu/Documents/in/Low?f_ri=318"},{"id":370891,"name":"Curie temperature","url":"https://www.academia.edu/Documents/in/Curie_temperature?f_ri=318"},{"id":832541,"name":"Quantum Critical Point","url":"https://www.academia.edu/Documents/in/Quantum_Critical_Point?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_4821070" data-work_id="4821070" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/4821070/High_frequency_power_spectra_of_systems_subject_to_noise">High-frequency power spectra of systems subject to noise</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/4821070" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="67743341ddabdfdb777791b4b8d6dcf5" rel="nofollow" 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window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_4821070"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_4821070 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="4821070"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 4821070; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=4821070]").text(description); $(".js-view-count-work_4821070").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_4821070").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="4821070"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="318" href="https://www.academia.edu/Documents/in/Mathematical_Physics">Mathematical Physics</a>, <script data-card-contents-for-ri="318" type="text/json">{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="518" href="https://www.academia.edu/Documents/in/Quantum_Physics">Quantum Physics</a>, <script data-card-contents-for-ri="518" type="text/json">{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="48458" href="https://www.academia.edu/Documents/in/High_Frequency">High Frequency</a>, <script data-card-contents-for-ri="48458" type="text/json">{"id":48458,"name":"High Frequency","url":"https://www.academia.edu/Documents/in/High_Frequency?f_ri=318","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=318","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=4821070]'), work: {"id":4821070,"title":"High-frequency power spectra of systems subject 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Frequency","url":"https://www.academia.edu/Documents/in/High_Frequency?f_ri=318","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=318","nofollow":false},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=318"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_28523688 coauthored" data-work_id="28523688" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/28523688/Canonical_phase_diagrams_of_the_1D_Falicov_Kimball_model_at_T_0">Canonical phase diagrams of the 1D Falicov-Kimball model at T = 0</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The Falicov-Kimball model of spinless quantum electrons hopping on a 1-dimensional lattice and of immobile classical ions occupying some lattice sites, with only intrasite coupling between those particles, have been studied at zero... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_28523688" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The Falicov-Kimball model of spinless quantum electrons hopping on a 1-dimensional lattice and of immobile classical ions occupying some lattice sites, with only intrasite coupling between those particles, have been studied at zero temperature by means of well-controlled numerical procedures. For selected values of the unique coupling parameter U the restricted phase diagrams (based on all the periodic configurations of localized particles (ions) with period not greater than 16 lattice constants, typically) have been constructed in the grand-canonical ensemble. Then these diagrams have been translated into the canonical ensemble. Compared to the diagrams obtained in other studies our ones contain more details, in particular they give better insight into the way the mixtures of periodic phases are formed. Our study has revealed several families of new characteristic phases like the generalized most homogeneous and the generalized crenel phases, a first example of a structural phase transition and a tendency to build up an additional symmetry - the hole-particle symmetry with respect to the ions (electrons) only, as U decreases.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/28523688" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="12cad74cf2d02deaa8a3448de2606be5" rel="nofollow" data-download="{"attachment_id":48876035,"asset_id":28523688,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/48876035/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="53500670" href="https://independent.academia.edu/ZbigniewGajek">Zbigniew Gajek</a><script data-card-contents-for-user="53500670" type="text/json">{"id":53500670,"first_name":"Zbigniew","last_name":"Gajek","domain_name":"independent","page_name":"ZbigniewGajek","display_name":"Zbigniew Gajek","profile_url":"https://independent.academia.edu/ZbigniewGajek?f_ri=318","photo":"/images/s65_no_pic.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-28523688">+2</span><div class="hidden js-additional-users-28523688"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://wroc.academia.edu/JanuszJedrzejewski">Janusz Jedrzejewski</a></span></div><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/RomualdLemanski">Romuald Lemanski</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-28523688'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-28523688').html(); 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For selected values of the unique coupling parameter U the restricted phase diagrams (based on all the periodic configurations of localized particles (ions) with period not greater than 16 lattice constants, typically) have been constructed in the grand-canonical ensemble. Then these diagrams have been translated into the canonical ensemble. Compared to the diagrams obtained in other studies our ones contain more details, in particular they give better insight into the way the mixtures of periodic phases are formed. Our study has revealed several families of new characteristic phases like the generalized most homogeneous and the generalized crenel phases, a first example of a structural phase transition and a tendency to build up an additional symmetry - the hole-particle symmetry with respect to the ions (electrons) only, as U decreases.","downloadable_attachments":[{"id":48876035,"asset_id":28523688,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":53500670,"first_name":"Zbigniew","last_name":"Gajek","domain_name":"independent","page_name":"ZbigniewGajek","display_name":"Zbigniew Gajek","profile_url":"https://independent.academia.edu/ZbigniewGajek?f_ri=318","photo":"/images/s65_no_pic.png"},{"id":53520756,"first_name":"Janusz","last_name":"Jedrzejewski","domain_name":"wroc","page_name":"JanuszJedrzejewski","display_name":"Janusz Jedrzejewski","profile_url":"https://wroc.academia.edu/JanuszJedrzejewski?f_ri=318","photo":"/images/s65_no_pic.png"},{"id":40705689,"first_name":"Romuald","last_name":"Lemanski","domain_name":"independent","page_name":"RomualdLemanski","display_name":"Romuald Lemanski","profile_url":"https://independent.academia.edu/RomualdLemanski?f_ri=318","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=318","nofollow":false},{"id":88255,"name":"Mott metal-insulator transition","url":"https://www.academia.edu/Documents/in/Mott_metal-insulator_transition?f_ri=318","nofollow":false},{"id":267802,"name":"Dimensional","url":"https://www.academia.edu/Documents/in/Dimensional?f_ri=318","nofollow":false},{"id":327568,"name":"Canonical Ensemble","url":"https://www.academia.edu/Documents/in/Canonical_Ensemble?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_10031899" data-work_id="10031899" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/10031899/Effects_of_Substrate_Relaxation_on_Adsorption_in_Pores">Effects of Substrate Relaxation on Adsorption in Pores</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Fluids in porous media are commonly studied with analytical or simulation methods, usually assuming that the host medium is rigid. By evaluating the substrate’s response (relaxation) to the presence of the fluid we assess the error... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_10031899" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Fluids in porous media are commonly studied with analytical or simulation methods, usually assuming that the host medium is rigid. By evaluating the substrate’s response (relaxation) to the presence of the fluid we assess the error inherent in that assumption. One application is a determination of the ground state of 3He in slit and cylindrical pores. With the relaxation, there results a much stronger cohesion than would be found for a rigid host. Similar increased binding effects of relaxation are found for classical fluids confined within slit pores or nanotube bundles.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/10031899" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="894ba3a2392b3ae5c3095937dcd15c7f" rel="nofollow" data-download="{"attachment_id":47560152,"asset_id":10031899,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/47560152/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="24430887" href="https://independent.academia.edu/GeorgeStan1">George Stan</a><script data-card-contents-for-user="24430887" type="text/json">{"id":24430887,"first_name":"George","last_name":"Stan","domain_name":"independent","page_name":"GeorgeStan1","display_name":"George Stan","profile_url":"https://independent.academia.edu/GeorgeStan1?f_ri=318","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_10031899 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="10031899"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 10031899, container: ".js-paper-rank-work_10031899", }); 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By evaluating the substrate’s response (relaxation) to the presence of the fluid we assess the error inherent in that assumption. One application is a determination of the ground state of 3He in slit and cylindrical pores. With the relaxation, there results a much stronger cohesion than would be found for a rigid host. Similar increased binding effects of relaxation are found for classical fluids confined within slit pores or nanotube bundles.","downloadable_attachments":[{"id":47560152,"asset_id":10031899,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":24430887,"first_name":"George","last_name":"Stan","domain_name":"independent","page_name":"GeorgeStan1","display_name":"George Stan","profile_url":"https://independent.academia.edu/GeorgeStan1?f_ri=318","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=318","nofollow":false},{"id":39499,"name":"Porous Materials","url":"https://www.academia.edu/Documents/in/Porous_Materials?f_ri=318","nofollow":false},{"id":39752,"name":"Adsorption","url":"https://www.academia.edu/Documents/in/Adsorption?f_ri=318","nofollow":false},{"id":71115,"name":"Low Temperature Physics","url":"https://www.academia.edu/Documents/in/Low_Temperature_Physics?f_ri=318"},{"id":90637,"name":"Porous Media","url":"https://www.academia.edu/Documents/in/Porous_Media?f_ri=318"},{"id":180835,"name":"Simulation Methods","url":"https://www.academia.edu/Documents/in/Simulation_Methods?f_ri=318"},{"id":508740,"name":"Porous Material","url":"https://www.academia.edu/Documents/in/Porous_Material?f_ri=318"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_10836159" data-work_id="10836159" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/10836159/Entropy_and_Quantum_Kolmogorov_Complexity_A_Quantum_Brudno_s_Theorem">Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno’s Theorem</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/10836159" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="194b11a8acf9651299f32800bfe943ca" rel="nofollow" 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itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="42992195" href="https://lisboa.academia.edu/VVKonotop">Vladimir V Konotop</a><script data-card-contents-for-user="42992195" type="text/json">{"id":42992195,"first_name":"Vladimir","last_name":"Konotop","domain_name":"lisboa","page_name":"VVKonotop","display_name":"Vladimir V Konotop","profile_url":"https://lisboa.academia.edu/VVKonotop?f_ri=318","photo":"https://0.academia-photos.com/42992195/11530924/12860369/s65_vladimir.konotop.jpg"}</script></span></span></li><li class="js-paper-rank-work_21841083 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="21841083"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 21841083, container: ".js-paper-rank-work_21841083", }); });</script></li><li class="js-percentile-work_21841083 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u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/21159889" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0b38286e005fbb3b99252b3b0098997c" rel="nofollow" data-download="{"attachment_id":41909755,"asset_id":21159889,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/41909755/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" 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This paper... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_46964352" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This paper proposes a Modular Universe toy-model (MUTM) predicting all elementary particles (EPs) to be actually quantum black-holes (QBHs) (gravitational quasi-singularities) governed by self-gravity and self-antigravity. This paper continues (from an alternative angle of view) the work of other past articles/preprints of the same author in physics (cited in anti-chronological order, from the latest to the oldest. <br />#DONATIONS. Anyone can donate for dr. 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This paper continues (from an alternative angle of view) the work of other past articles/preprints of the same author in physics (cited in anti-chronological order, from the latest to the oldest.\r\n#DONATIONS. Anyone can donate for dr. 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We find that these models undergo isotropization up to the point that the observations will not be able to distinguish between them and the standard model, except for the Kantowski-Sachs model $(\Omega_{k_{0}}<0)$ and for the Bianchi type-III $(\Omega_{k_{0}}>0)$ with $\Omega_{\Lambda_{0}}$ smaller than some critical value $\Omega_{\Lambda_{M}}$. Even if one imposes that the Universe should be nearly isotropic since the last scattering epoch ($z\approx 1000$), meaning that the Universe should have approximately the same Hubble parameter in all directions (considering the COBE 4-Year data), there is still a large range for the matter density parameter compatible with Kantowsky-Sachs and Bianchi type-III if $|\Omega_0+\Omega_{\Lambda_0}-1|\leq \delta$, for a very small $\delta$ . The Bianchi type-I model becomes exactly isotropic owing to our restrictions and we have $\Omega_0+\Omega_{\Lambda_0}=1$ in this case. Of course, all these models approach locally an exponential expanding state provided the cosmological constant $\Omega_\Lambda>\Omega_{\Lambda_{M}}$.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/11296214" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e10374120c3d17583d6c2c043b9aa76a" rel="nofollow" data-download="{"attachment_id":36873475,"asset_id":11296214,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/36873475/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="27305839" href="https://ulisboa.academia.edu/PauloCrawford">Paulo Crawford</a><script data-card-contents-for-user="27305839" type="text/json">{"id":27305839,"first_name":"Paulo","last_name":"Crawford","domain_name":"ulisboa","page_name":"PauloCrawford","display_name":"Paulo Crawford","profile_url":"https://ulisboa.academia.edu/PauloCrawford?f_ri=318","photo":"https://0.academia-photos.com/27305839/7756566/8695397/s65_paulo.crawford.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-11296214">+1</span><div class="hidden js-additional-users-11296214"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://cityoffuture.academia.edu/PauloAguiar">Paulo Aguiar</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-11296214'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-11296214').html(); 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We find that these models undergo isotropization up to the point that the observations will not be able to distinguish between them and the standard model, except for the Kantowski-Sachs model $(\\Omega_{k_{0}}\u003c0)$ and for the Bianchi type-III $(\\Omega_{k_{0}}\u003e0)$ with $\\Omega_{\\Lambda_{0}}$ smaller than some critical value $\\Omega_{\\Lambda_{M}}$. Even if one imposes that the Universe should be nearly isotropic since the last scattering epoch ($z\\approx 1000$), meaning that the Universe should have approximately the same Hubble parameter in all directions (considering the COBE 4-Year data), there is still a large range for the matter density parameter compatible with Kantowsky-Sachs and Bianchi type-III if $|\\Omega_0+\\Omega_{\\Lambda_0}-1|\\leq \\delta$, for a very small $\\delta$ . The Bianchi type-I model becomes exactly isotropic owing to our restrictions and we have $\\Omega_0+\\Omega_{\\Lambda_0}=1$ in this case. Of course, all these models approach locally an exponential expanding state provided the cosmological constant $\\Omega_\\Lambda\u003e\\Omega_{\\Lambda_{M}}$.","downloadable_attachments":[{"id":36873475,"asset_id":11296214,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":27305839,"first_name":"Paulo","last_name":"Crawford","domain_name":"ulisboa","page_name":"PauloCrawford","display_name":"Paulo Crawford","profile_url":"https://ulisboa.academia.edu/PauloCrawford?f_ri=318","photo":"https://0.academia-photos.com/27305839/7756566/8695397/s65_paulo.crawford.jpg"},{"id":27408399,"first_name":"Paulo","last_name":"Aguiar","domain_name":"cityoffuture","page_name":"PauloAguiar","display_name":"Paulo Aguiar","profile_url":"https://cityoffuture.academia.edu/PauloAguiar?f_ri=318","photo":"https://0.academia-photos.com/27408399/7796192/8737699/s65_paulo.aguiar.jpg"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics?f_ri=318","nofollow":false},{"id":503,"name":"Theoretical Physics","url":"https://www.academia.edu/Documents/in/Theoretical_Physics?f_ri=318","nofollow":false},{"id":23179,"name":"Astrophysics","url":"https://www.academia.edu/Documents/in/Astrophysics?f_ri=318","nofollow":false},{"id":47599,"name":"Astronomy","url":"https://www.academia.edu/Documents/in/Astronomy?f_ri=318","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_70985415" data-work_id="70985415" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/70985415/Twists_of_Elliptic_Curves">Twists of Elliptic Curves</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/70985415" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d6c77f6e84c83c802a798954e7a157eb" rel="nofollow" data-download="{"attachment_id":80512157,"asset_id":70985415,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/80512157/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="48148147" href="https://independent.academia.edu/JapTop">Jaap Top</a><script data-card-contents-for-user="48148147" type="text/json">{"id":48148147,"first_name":"Jaap","last_name":"Top","domain_name":"independent","page_name":"JapTop","display_name":"Jaap Top","profile_url":"https://independent.academia.edu/JapTop?f_ri=318","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_70985415 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="70985415"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 70985415, container: ".js-paper-rank-work_70985415", }); 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When we plot the scaling exponents obtained from the DFA versus the standard deviation of the temperature fluctuations, we observe crowding of data points belonging to the same climates. Thus, we conclude that by observing the long-time trends in the fluctuations of temperature it would be possible to distinguish between different climates.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/71446873" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="2a38786eaa0486b2c9d8d3b641da5602" rel="nofollow" data-download="{"attachment_id":80785509,"asset_id":71446873,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/80785509/download_file?st=MTczMjQwNTU4Myw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="70058987" href="https://independent.academia.edu/Ko%C3%A7akKas%C4%B1m">Kasım Koçak</a><script data-card-contents-for-user="70058987" type="text/json">{"id":70058987,"first_name":"Kasım","last_name":"Koçak","domain_name":"independent","page_name":"KoçakKasım","display_name":"Kasım Koçak","profile_url":"https://independent.academia.edu/Ko%C3%A7akKas%C4%B1m?f_ri=318","photo":"https://0.academia-photos.com/70058987/36670099/31315275/s65_kas_m.ko_ak.jpg"}</script></span></span></li><li class="js-paper-rank-work_71446873 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="71446873"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 71446873, container: ".js-paper-rank-work_71446873", }); 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