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<button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2502.11991">arXiv:2502.11991</a> <span> [<a href="https://arxiv.org/pdf/2502.11991">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Medical Physics">physics.med-ph</span> </div> </div> <p class="title is-5 mathjax"> Evaluation of the uncertainty in calculating nanodosimetric quantities due to the use of different interaction cross sections in Monte Carlo track structure codes </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Villagrasa%2C+C">Carmen Villagrasa</a>, <a href="/search/physics?searchtype=author&query=Baiocco%2C+G">Giorgio Baiocco</a>, <a href="/search/physics?searchtype=author&query=Chaoui%2C+Z">Zine-El-Abidine Chaoui</a>, <a href="/search/physics?searchtype=author&query=Dingfelder%2C+M">Michael Dingfelder</a>, <a href="/search/physics?searchtype=author&query=Incerti%2C+S">S茅bastien Incerti</a>, <a href="/search/physics?searchtype=author&query=Kundr%C3%A1t%2C+P">Pavel Kundr谩t</a>, <a href="/search/physics?searchtype=author&query=Kyriakou%2C+I">Ioanna Kyriakou</a>, <a href="/search/physics?searchtype=author&query=Matsuya%2C+Y">Yusuke Matsuya</a>, <a href="/search/physics?searchtype=author&query=Kai%2C+T">Takeshi Kai</a>, <a href="/search/physics?searchtype=author&query=Paris%2C+A">Alessio Paris</a>, <a href="/search/physics?searchtype=author&query=Perrot%2C+Y">Yann Perrot</a>, <a href="/search/physics?searchtype=author&query=Pietrzak%2C+M">Marcin Pietrzak</a>, <a href="/search/physics?searchtype=author&query=Schuemann%2C+J">Jan Schuemann</a>, <a href="/search/physics?searchtype=author&query=Rabus%2C+H">Hans Rabus</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2502.11991v1-abstract-short" style="display: inline;"> This study evaluates the uncertainty in nanodosimetric calculations caused by variations in interaction cross sections within Monte Carlo Track Structure (MCTS) simulation codes. Nanodosimetry relies on accurately simulating particle interactions at the molecular scale. Different MCTS codes employ distinct physical models and datasets for electron interactions in liquid water, a surrogate for biol… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2502.11991v1-abstract-full').style.display = 'inline'; document.getElementById('2502.11991v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2502.11991v1-abstract-full" style="display: none;"> This study evaluates the uncertainty in nanodosimetric calculations caused by variations in interaction cross sections within Monte Carlo Track Structure (MCTS) simulation codes. Nanodosimetry relies on accurately simulating particle interactions at the molecular scale. Different MCTS codes employ distinct physical models and datasets for electron interactions in liquid water, a surrogate for biological tissues. The paper focuses on the Ionization Cluster Size Distribution (ICSD) generated by electrons of varying energies in nanometric volumes. Seven MCTS codes were tested using their native cross sections and a common dataset derived from averaging data used in the participating codes. The results reveal significant discrepancies among the codes in ICSDs and derived biologically relevant nanodosimetric quantities such as mean ionization numbers (M1) and probabilities of obtaining two or more ionizations (F2). The largest variations were observed for low-energy electrons, where the contribution from interaction cross sections dominates the overall uncertainties. For instance, M1 values for ICSDs of electron of 20 eV can differ by around 45 % (RSD) and 34 % (RSD) was found for F2 values of ICSDs of electrons of 50 eV. Using common cross sections substantially reduced the discrepancies, suggesting that cross section datasets are the primary source of variability. Finally, estimates of deoxyribonucleic acid (DNA) damage using the PARTRAC code highlight tht cross section variations have a non-negligible impact simulated biological outcomes, particularly for double-strand breaks (DSBs) Indeed, despite the fact that many other parameters in the simulation that can greatly differ from one code to another, the different interaction cross-sections studied in this work can lead to differences in the number of DSBs calculated with the PARTRAC code of up to 15%. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2502.11991v1-abstract-full').style.display = 'none'; document.getElementById('2502.11991v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 February, 2025; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2025. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">39 pages, 8 figures, 14 tables; submitted to PLOS One</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.11849">arXiv:2201.11849</a> <span> [<a href="https://arxiv.org/pdf/2201.11849">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Other Quantitative Biology">q-bio.OT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Medical Physics">physics.med-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1667/RR15209.1">10.1667/RR15209.1 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> A new Standard DNA damage (SDD) data format </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Schuemann%2C+J">J. Schuemann</a>, <a href="/search/physics?searchtype=author&query=McNamara%2C+A">A. McNamara</a>, <a href="/search/physics?searchtype=author&query=Warmenhoven%2C+J+W">J. W. Warmenhoven</a>, <a href="/search/physics?searchtype=author&query=Henthorn%2C+N+T">N. T. Henthorn</a>, <a href="/search/physics?searchtype=author&query=Kirkby%2C+K">K. Kirkby</a>, <a href="/search/physics?searchtype=author&query=Merchant%2C+M+J">M. J. Merchant</a>, <a href="/search/physics?searchtype=author&query=Ingram%2C+S">S. Ingram</a>, <a href="/search/physics?searchtype=author&query=Paganetti%2C+H">H. Paganetti</a>, <a href="/search/physics?searchtype=author&query=Held%2C+K">KD. Held</a>, <a href="/search/physics?searchtype=author&query=Ramos-Mendez%2C+J">J. Ramos-Mendez</a>, <a href="/search/physics?searchtype=author&query=Faddegon%2C+B">B. Faddegon</a>, <a href="/search/physics?searchtype=author&query=Perl%2C+J">J. Perl</a>, <a href="/search/physics?searchtype=author&query=Goodhead%2C+D">D. Goodhead</a>, <a href="/search/physics?searchtype=author&query=Plante%2C+I">I. Plante</a>, <a href="/search/physics?searchtype=author&query=Rabus%2C+H">H. Rabus</a>, <a href="/search/physics?searchtype=author&query=Nettelbeck%2C+H">H. Nettelbeck</a>, <a href="/search/physics?searchtype=author&query=Friedland%2C+W">W. Friedland</a>, <a href="/search/physics?searchtype=author&query=Kundrat%2C+P">P. Kundrat</a>, <a href="/search/physics?searchtype=author&query=Ottolenghi%2C+A">A. Ottolenghi</a>, <a href="/search/physics?searchtype=author&query=Baiocco%2C+G">G. Baiocco</a>, <a href="/search/physics?searchtype=author&query=Barbieri%2C+S">S. Barbieri</a>, <a href="/search/physics?searchtype=author&query=Dingfelder%2C+M">M. Dingfelder</a>, <a href="/search/physics?searchtype=author&query=Incerti%2C+S">S. Incerti</a>, <a href="/search/physics?searchtype=author&query=Villagrasa%2C+C">C. Villagrasa</a>, <a href="/search/physics?searchtype=author&query=Bueno%2C+M">M. Bueno</a> , et al. (26 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.11849v1-abstract-short" style="display: inline;"> Our understanding of radiation induced cellular damage has greatly improved over the past decades. Despite this progress, there are still many obstacles to fully understanding how radiation interacts with biologically relevant cellular components to form observable endpoints. One hurdle is the difficulty faced by members of different research groups in directly comparing results. Multiple Monte Ca… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.11849v1-abstract-full').style.display = 'inline'; document.getElementById('2201.11849v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.11849v1-abstract-full" style="display: none;"> Our understanding of radiation induced cellular damage has greatly improved over the past decades. Despite this progress, there are still many obstacles to fully understanding how radiation interacts with biologically relevant cellular components to form observable endpoints. One hurdle is the difficulty faced by members of different research groups in directly comparing results. Multiple Monte Carlo codes have been developed to simulate damage induction at the DNA scale, while at the same time various groups have developed models that describe DNA repair processes with varying levels of detail. These repair models are intrinsically linked to the damage model employed in their development, making it difficult to disentangle systematic effects in either part of the modelling chain. The modelling chain typically consists of track structure Monte Carlo simulations of the physics interactions creating direct damages to the DNA; followed by simulations of the production and initial reactions of chemical species causing indirect damages. After the DNA damage induction, DNA repair models combine the simulated damage patterns with biological models to determine the biological consequences of the damage. We propose a new Standard data format for DNA Damage to unify the interface between the simulation of damage induction and the biological modelling of cell repair processes. Such a standard greatly facilitates inter model comparisons, providing an ideal environment to tease out model assumptions and identify persistent, underlying mechanisms. Through inter model comparisons, this unified standard has the potential to greatly advance our understanding of the underlying mechanisms of radiation induced DNA damage and the resulting observable biological effects. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.11849v1-abstract-full').style.display = 'none'; document.getElementById('2201.11849v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Radiation Research, 191(1): 76-92 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2108.08204">arXiv:2108.08204</a> <span> [<a href="https://arxiv.org/pdf/2108.08204">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Medical Physics">physics.med-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Computational Physics">physics.comp-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.radmeas.2021.106675">10.1016/j.radmeas.2021.106675 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Intercomparison of micro- and nanodosimetry Monte Carlo simulations: an approach to assess the influence of different cross-sections for low-energy electrons on the dispersion of results </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Villagrasa%2C+C">Carmen Villagrasa</a>, <a href="/search/physics?searchtype=author&query=Rabus%2C+H">Hans Rabus</a>, <a href="/search/physics?searchtype=author&query=Baiocco%2C+G">Giorgio Baiocco</a>, <a href="/search/physics?searchtype=author&query=Perrot%2C+Y">Yann Perrot</a>, <a href="/search/physics?searchtype=author&query=Parisi%2C+A">Alessio Parisi</a>, <a href="/search/physics?searchtype=author&query=Struelens%2C+L">Lara Struelens</a>, <a href="/search/physics?searchtype=author&query=Qiu%2C+R">Rui Qiu</a>, <a href="/search/physics?searchtype=author&query=Beuve%2C+M">Michael Beuve</a>, <a href="/search/physics?searchtype=author&query=Poignant%2C+F">Floriane Poignant</a>, <a href="/search/physics?searchtype=author&query=Pietrzak%2C+M">Marcin Pietrzak</a>, <a href="/search/physics?searchtype=author&query=Nettelbeck%2C+H">Heidi Nettelbeck</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2108.08204v2-abstract-short" style="display: inline;"> An intercomparison of microdosimetric and nanodosimetric quantities simulated Monte Carlo codes is in progress with the goal of assessing the uncertainty contribution to simulated results due to the uncertainties of the electron interaction cross-sections used in the codes. In the first stage of the intercomparison, significant discrepancies were found for nanodosimetric quantities as well as for… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.08204v2-abstract-full').style.display = 'inline'; document.getElementById('2108.08204v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2108.08204v2-abstract-full" style="display: none;"> An intercomparison of microdosimetric and nanodosimetric quantities simulated Monte Carlo codes is in progress with the goal of assessing the uncertainty contribution to simulated results due to the uncertainties of the electron interaction cross-sections used in the codes. In the first stage of the intercomparison, significant discrepancies were found for nanodosimetric quantities as well as for microdosimetric simulations of a radiation source placed at the surface of a spherical water scoring volume. This paper reports insight gained from further analysis, including additional results for the microdosimetry case where the observed discrepancies in the simulated distributions could be traced back to the difference between track-structure and condensed-history approaches. Furthermore, detailed investigations into the sensitivity of nanodosimetric distributions to alterations in inelastic electron scattering cross-sections are presented which were conducted in the lead up to the definition of an approach to be used in the second stage of the intercomparison to come. The suitability of simulation results for assessing the sought uncertainty contributions from cross-sections is discussed and a proposed framework is described. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.08204v2-abstract-full').style.display = 'none'; document.getElementById('2108.08204v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 18 August, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, 7 figures, 5 tables plus 3 supplementary figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Radiation Measurements 150,106675 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1309.5464">arXiv:1309.5464</a> <span> [<a href="https://arxiv.org/pdf/1309.5464">pdf</a>, <a href="https://arxiv.org/format/1309.5464">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Instrumentation and Detectors">physics.ins-det</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epja/i2013-13128-2">10.1140/epja/i2013-13128-2 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> GARFIELD + RCo Digital Upgrade: a Modern Set-up for Mass and Charge Identification of Heavy Ion Reaction Products </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Bruno%2C+M">M. Bruno</a>, <a href="/search/physics?searchtype=author&query=Gramegna%2C+F">F. Gramegna</a>, <a href="/search/physics?searchtype=author&query=Marchi%2C+T">T. Marchi</a>, <a href="/search/physics?searchtype=author&query=Morelli%2C+L">L. Morelli</a>, <a href="/search/physics?searchtype=author&query=Pasquali%2C+G">G. Pasquali</a>, <a href="/search/physics?searchtype=author&query=Casini%2C+G">G. Casini</a>, <a href="/search/physics?searchtype=author&query=Abbondanno%2C+U">U. Abbondanno</a>, <a href="/search/physics?searchtype=author&query=Baiocco%2C+G">G. Baiocco</a>, <a href="/search/physics?searchtype=author&query=Bardelli%2C+L">L. Bardelli</a>, <a href="/search/physics?searchtype=author&query=Barlini%2C+S">S. Barlini</a>, <a href="/search/physics?searchtype=author&query=Bini%2C+M">M. Bini</a>, <a href="/search/physics?searchtype=author&query=Carboni%2C+S">S. Carboni</a>, <a href="/search/physics?searchtype=author&query=Cinausero%2C+M">M. Cinausero</a>, <a href="/search/physics?searchtype=author&query=Agostino%2C+M+D">M. D Agostino</a>, <a href="/search/physics?searchtype=author&query=Degerlier%2C+M">M. Degerlier</a>, <a href="/search/physics?searchtype=author&query=Kravchuk%2C+V+L">V. L. Kravchuk</a>, <a href="/search/physics?searchtype=author&query=Geraci%2C+E">E. Geraci</a>, <a href="/search/physics?searchtype=author&query=Mastinu%2C+P+F">P. F. Mastinu</a>, <a href="/search/physics?searchtype=author&query=Ordine%2C+A">A. Ordine</a>, <a href="/search/physics?searchtype=author&query=Piantelli%2C+S">S. Piantelli</a>, <a href="/search/physics?searchtype=author&query=Poggi%2C+G">G. Poggi</a>, <a href="/search/physics?searchtype=author&query=Moroni%2C+A">A. Moroni</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1309.5464v1-abstract-short" style="display: inline;"> An upgraded GARFIELD + Ring Counter (RCo) apparatus is presented with improved performances as far as electronics and detectors are concerned. On one side fast sampling digital read out has been extended to all detectors, allowing for an important simplification of the signal processing chain together with an enriched extracted information. On the other side a relevant improvement has been made in… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.5464v1-abstract-full').style.display = 'inline'; document.getElementById('1309.5464v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1309.5464v1-abstract-full" style="display: none;"> An upgraded GARFIELD + Ring Counter (RCo) apparatus is presented with improved performances as far as electronics and detectors are concerned. On one side fast sampling digital read out has been extended to all detectors, allowing for an important simplification of the signal processing chain together with an enriched extracted information. On the other side a relevant improvement has been made in the forward part of the setup (RCo): an increased granularity of the CsI(Tl) crystals and a higher homogeneity in the silicon detector resistivity. The renewed performances of the GARFIELD + RCo array make it suitable for nuclear reaction measurements both with stable and with Radioactive Ion Beams (RIB), like the ones foreseen for the SPES facility, where the Physics of Isospin can be studied. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.5464v1-abstract-full').style.display = 'none'; document.getElementById('1309.5464v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 September, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">13 pages, 19 figures - paper submitted to Eur. Phys. J. A</span> </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 2020-02-24</a>  </span> </div> </div> </main> <footer> <div class="columns is-desktop" role="navigation" aria-label="Secondary">  <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul class="nav-spaced"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/license/index.html">Copyright</a></li> <li><a href="https://info.arxiv.org/help/policies/privacy_policy.html">Privacy Policy</a></li> </ul> </div> <div class="column sorry-app-links"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/web_accessibility.html">Web Accessibility Assistance</a></li> <li> <p class="help"> <a class="a11y-main-link" href="https://status.arxiv.org" target="_blank">arXiv Operational Status <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 256 512" class="icon filter-dark_grey" role="presentation"><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"/></svg></a><br> Get status notifications via <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/email/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg>email</a> or <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/slack/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon filter-black" role="presentation"><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"/></svg>slack</a> </p> </li> </ul> </div> </div> </div>  </div> </footer> <script src="https://static.arxiv.org/static/base/1.0.0a5/js/member_acknowledgement.js"></script> </body> </html>

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