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Mathematical Physics Aug 2024

<!DOCTYPE html> <html lang="en"> <head> <title>Mathematical Physics Aug 2024</title> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="apple-touch-icon" sizes="180x180" href="/static/browse/0.3.4/images/icons/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/static/browse/0.3.4/images/icons/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/static/browse/0.3.4/images/icons/favicon-16x16.png"> <link rel="manifest" href="/static/browse/0.3.4/images/icons/site.webmanifest"> <link rel="mask-icon" href="/static/browse/0.3.4/images/icons/safari-pinned-tab.svg" color="#5bbad5"> <meta name="msapplication-TileColor" content="#da532c"> <meta name="theme-color" content="#ffffff"> <link rel="stylesheet" type="text/css" media="screen" href="/static/browse/0.3.4/css/arXiv.css?v=20241206" /> <link rel="stylesheet" type="text/css" media="print" href="/static/browse/0.3.4/css/arXiv-print.css?v=20200611" /> <link 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href=/list/math-ph/2024-08?skip=350&amp;show=50>351-389</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math-ph/2024-08?skip=0&amp;show=25 rel="nofollow"> fewer</a> | <a href=/list/math-ph/2024-08?skip=0&amp;show=100 rel="nofollow"> more</a> | <a href=/list/math-ph/2024-08?skip=0&amp;show=2000 rel="nofollow"> all</a> </div> <dl id='articles'> <dt> <a name='item1'>[1]</a> <a href ="/abs/2408.00095" title="Abstract" id="2408.00095"> arXiv:2408.00095 </a> [<a href="/pdf/2408.00095" title="Download PDF" id="pdf-2408.00095" aria-labelledby="pdf-2408.00095">pdf</a>, <a href="https://arxiv.org/html/2408.00095v1" title="View HTML" id="html-2408.00095" aria-labelledby="html-2408.00095" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.00095" title="Other formats" id="oth-2408.00095" aria-labelledby="oth-2408.00095">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Affine Connection Approach to the Realization of Nonholonomic Constraints by Strong Friction Forces </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Gzenda,+V">Vaughn Gzenda</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Chhabra,+R">Robin Chhabra</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 30 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Differential Geometry (math.DG); Dynamical Systems (math.DS) </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2408.01020" title="Abstract" id="2408.01020"> arXiv:2408.01020 </a> [<a href="/pdf/2408.01020" title="Download PDF" id="pdf-2408.01020" aria-labelledby="pdf-2408.01020">pdf</a>, <a href="https://arxiv.org/html/2408.01020v1" title="View HTML" id="html-2408.01020" aria-labelledby="html-2408.01020" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01020" title="Other formats" id="oth-2408.01020" aria-labelledby="oth-2408.01020">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Geometric Linearization for Constraint Hamiltonian Systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Paliathanasis,+A">Andronikos Paliathanasis</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 30 pages, no figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; General Relativity and Quantum Cosmology (gr-qc) </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2408.01086" title="Abstract" id="2408.01086"> arXiv:2408.01086 </a> [<a href="/pdf/2408.01086" title="Download PDF" id="pdf-2408.01086" aria-labelledby="pdf-2408.01086">pdf</a>, <a href="https://arxiv.org/html/2408.01086v1" title="View HTML" id="html-2408.01086" aria-labelledby="html-2408.01086" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01086" title="Other formats" id="oth-2408.01086" aria-labelledby="oth-2408.01086">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the Feynman Graph Integrals on Elliptic Curves </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Yang,+X">Xiaoxiao Yang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2408.01189" title="Abstract" id="2408.01189"> arXiv:2408.01189 </a> [<a href="/pdf/2408.01189" title="Download PDF" id="pdf-2408.01189" aria-labelledby="pdf-2408.01189">pdf</a>, <a href="https://arxiv.org/html/2408.01189v2" title="View HTML" id="html-2408.01189" aria-labelledby="html-2408.01189" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01189" title="Other formats" id="oth-2408.01189" aria-labelledby="oth-2408.01189">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Baryogenesis in Minkowski Spacetime </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Finster,+F">Felix Finster</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=van+den+Beld-Serrano,+M">Marco van den Beld-Serrano</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 38 pages, LaTeX, 1 figure, 3 ancillary Mathematica Notebooks, many small improvements in Section 7, formula for second order contribution added (published version) </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> J. Geom. Phys. 207 (2025) 105346 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; General Relativity and Quantum Cosmology (gr-qc) </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2408.01360" title="Abstract" id="2408.01360"> arXiv:2408.01360 </a> [<a href="/pdf/2408.01360" title="Download PDF" id="pdf-2408.01360" aria-labelledby="pdf-2408.01360">pdf</a>, <a href="https://arxiv.org/html/2408.01360v2" title="View HTML" id="html-2408.01360" aria-labelledby="html-2408.01360" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01360" title="Other formats" id="oth-2408.01360" aria-labelledby="oth-2408.01360">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Laplacian and codifferential operators on p-forms in (Anti)-de Sitter spaces: restriction and continuation </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Huguet,+E">E. Huguet</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Queva,+J">J. Queva</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Renaud,+J">J. Renaud</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 9 pages, v2: typos corrected </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2408.01710" title="Abstract" id="2408.01710"> arXiv:2408.01710 </a> [<a href="/pdf/2408.01710" title="Download PDF" id="pdf-2408.01710" aria-labelledby="pdf-2408.01710">pdf</a>, <a href="https://arxiv.org/html/2408.01710v1" title="View HTML" id="html-2408.01710" aria-labelledby="html-2408.01710" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01710" title="Other formats" id="oth-2408.01710" aria-labelledby="oth-2408.01710">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Notions of Fermionic Entropies of a Causal Fermion System </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Finster,+F">Felix Finster</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Jonsson,+R+H">Robert H. Jonsson</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Lottner,+M">Magdalena Lottner</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Much,+A">Albert Much</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Murro,+S">Simone Murro</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 36 pages, LaTeX, 2 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2408.01846" title="Abstract" id="2408.01846"> arXiv:2408.01846 </a> [<a href="/pdf/2408.01846" title="Download PDF" id="pdf-2408.01846" aria-labelledby="pdf-2408.01846">pdf</a>, <a href="https://arxiv.org/html/2408.01846v1" title="View HTML" id="html-2408.01846" aria-labelledby="html-2408.01846" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01846" title="Other formats" id="oth-2408.01846" aria-labelledby="oth-2408.01846">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Poisson superalgebras and quantization </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Trindade,+M+A+S">Marco A. S. Trindade</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2408.01873" title="Abstract" id="2408.01873"> arXiv:2408.01873 </a> [<a href="/pdf/2408.01873" title="Download PDF" id="pdf-2408.01873" aria-labelledby="pdf-2408.01873">pdf</a>, <a href="https://arxiv.org/html/2408.01873v1" title="View HTML" id="html-2408.01873" aria-labelledby="html-2408.01873" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01873" title="Other formats" id="oth-2408.01873" aria-labelledby="oth-2408.01873">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Inverse problem for the L-operator in the Lax Pair of the Boussinesq equation on the circle </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Badanin,+A">Andrey Badanin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Korotyaev,+E">Evgeny Korotyaev</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 4 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2408.01886" title="Abstract" id="2408.01886"> arXiv:2408.01886 </a> [<a href="/pdf/2408.01886" title="Download PDF" id="pdf-2408.01886" aria-labelledby="pdf-2408.01886">pdf</a>, <a href="https://arxiv.org/html/2408.01886v1" title="View HTML" id="html-2408.01886" aria-labelledby="html-2408.01886" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01886" title="Other formats" id="oth-2408.01886" aria-labelledby="oth-2408.01886">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Inverse problem for 3-rd order operators under the 3-point Dirichlet conditions </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Badanin,+A">Andrey Badanin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Korotyaev,+E">Evgeny Korotyaev</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 7 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2408.01913" title="Abstract" id="2408.01913"> arXiv:2408.01913 </a> [<a href="/pdf/2408.01913" title="Download PDF" id="pdf-2408.01913" aria-labelledby="pdf-2408.01913">pdf</a>, <a href="/format/2408.01913" title="Other formats" id="oth-2408.01913" aria-labelledby="oth-2408.01913">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Green&#39;s function estimates for quasi-periodic operators on $\mathbb{Z}^d$ with power-law long-range hopping </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Shi,+Y">Yunfeng Shi</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Wen,+L">Li Wen</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Comments welcome; 67 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Dynamical Systems (math.DS); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item11'>[11]</a> <a href ="/abs/2408.01995" title="Abstract" id="2408.01995"> arXiv:2408.01995 </a> [<a href="/pdf/2408.01995" title="Download PDF" id="pdf-2408.01995" aria-labelledby="pdf-2408.01995">pdf</a>, <a href="https://arxiv.org/html/2408.01995v1" title="View HTML" id="html-2408.01995" aria-labelledby="html-2408.01995" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.01995" title="Other formats" id="oth-2408.01995" aria-labelledby="oth-2408.01995">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cospectral trees indistinguishable by scattering </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Pistol,+M">Mats-Erik Pistol</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Pivovarchik,+V">Vyacheslav Pivovarchik</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 10 pages, 6 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2408.02585" title="Abstract" id="2408.02585"> arXiv:2408.02585 </a> [<a href="/pdf/2408.02585" title="Download PDF" id="pdf-2408.02585" aria-labelledby="pdf-2408.02585">pdf</a>, <a href="https://arxiv.org/html/2408.02585v2" title="View HTML" id="html-2408.02585" aria-labelledby="html-2408.02585" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.02585" title="Other formats" id="oth-2408.02585" aria-labelledby="oth-2408.02585">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Integrable hierarchies and F-manifolds with compatible connection </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Lorenzoni,+P">Paolo Lorenzoni</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Perletti,+S">Sara Perletti</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=van+Gemst,+K">Karoline van Gemst</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 58 pages, improved version with new results </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2408.02608" title="Abstract" id="2408.02608"> arXiv:2408.02608 </a> [<a href="/pdf/2408.02608" title="Download PDF" id="pdf-2408.02608" aria-labelledby="pdf-2408.02608">pdf</a>, <a href="https://arxiv.org/html/2408.02608v2" title="View HTML" id="html-2408.02608" aria-labelledby="html-2408.02608" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.02608" title="Other formats" id="oth-2408.02608" aria-labelledby="oth-2408.02608">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Degenerate and irregular topological recursion </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Alexandrov,+A">Alexander Alexandrov</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Bychkov,+B">Boris Bychkov</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Dunin-Barkowski,+P">Petr Dunin-Barkowski</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Kazarian,+M">Maxim Kazarian</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Shadrin,+S">Sergey Shadrin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> v2: 29 pages, a section on KP integrability is added </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2408.02979" title="Abstract" id="2408.02979"> arXiv:2408.02979 </a> [<a href="/pdf/2408.02979" title="Download PDF" id="pdf-2408.02979" aria-labelledby="pdf-2408.02979">pdf</a>, <a href="/format/2408.02979" title="Other formats" id="oth-2408.02979" aria-labelledby="oth-2408.02979">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Scattering theory for $C^2$ long-range potentials </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Ito,+K">K. Ito</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Skibsted,+E">E. Skibsted</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Analysis of PDEs (math.AP); Functional Analysis (math.FA); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2408.03086" title="Abstract" id="2408.03086"> arXiv:2408.03086 </a> [<a href="/pdf/2408.03086" title="Download PDF" id="pdf-2408.03086" aria-labelledby="pdf-2408.03086">pdf</a>, <a href="https://arxiv.org/html/2408.03086v1" title="View HTML" id="html-2408.03086" aria-labelledby="html-2408.03086" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03086" title="Other formats" id="oth-2408.03086" aria-labelledby="oth-2408.03086">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A generalization of the Choi isomorphism with application to open quantum systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Schmidt,+H">Heinz-J眉rgen Schmidt</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2408.03192" title="Abstract" id="2408.03192"> arXiv:2408.03192 </a> [<a href="/pdf/2408.03192" title="Download PDF" id="pdf-2408.03192" aria-labelledby="pdf-2408.03192">pdf</a>, <a href="https://arxiv.org/html/2408.03192v2" title="View HTML" id="html-2408.03192" aria-labelledby="html-2408.03192" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03192" title="Other formats" id="oth-2408.03192" aria-labelledby="oth-2408.03192">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Combinatorial proof of a Non-Renormalization Theorem </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Balduf,+P">Paul-Hermann Balduf</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Gaiotto,+D">Davide Gaiotto</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 42 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; High Energy Physics - Theory (hep-th); Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item17'>[17]</a> <a href ="/abs/2408.03381" title="Abstract" id="2408.03381"> arXiv:2408.03381 </a> [<a href="/pdf/2408.03381" title="Download PDF" id="pdf-2408.03381" aria-labelledby="pdf-2408.03381">pdf</a>, <a href="https://arxiv.org/html/2408.03381v1" title="View HTML" id="html-2408.03381" aria-labelledby="html-2408.03381" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03381" title="Other formats" id="oth-2408.03381" aria-labelledby="oth-2408.03381">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Application of the Theory of Functional Connections to the Perturbed Lambert&#39;s Problem </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Criscola,+F">Franco Criscola</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Canales,+D">David Canales</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Mortari,+D">Daniele Mortari</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item18'>[18]</a> <a href ="/abs/2408.03709" title="Abstract" id="2408.03709"> arXiv:2408.03709 </a> [<a href="/pdf/2408.03709" title="Download PDF" id="pdf-2408.03709" aria-labelledby="pdf-2408.03709">pdf</a>, <a href="https://arxiv.org/html/2408.03709v1" title="View HTML" id="html-2408.03709" aria-labelledby="html-2408.03709" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03709" title="Other formats" id="oth-2408.03709" aria-labelledby="oth-2408.03709">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Transparent PT-symmetric nonlinear networks </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Akramov,+M">Mashrab Akramov</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Yusupov,+J">Jambul Yusupov</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Ehrhardt,+M">Matthias Ehrhardt</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Susanto,+H">Hadi Susanto</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Matrasulov,+D">Davron Matrasulov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, 6 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Numerical Analysis (math.NA); Optics (physics.optics) </div> </div> </dd> <dt> <a name='item19'>[19]</a> <a href ="/abs/2408.03824" title="Abstract" id="2408.03824"> arXiv:2408.03824 </a> [<a href="/pdf/2408.03824" title="Download PDF" id="pdf-2408.03824" aria-labelledby="pdf-2408.03824">pdf</a>, <a href="https://arxiv.org/html/2408.03824v1" title="View HTML" id="html-2408.03824" aria-labelledby="html-2408.03824" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03824" title="Other formats" id="oth-2408.03824" aria-labelledby="oth-2408.03824">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Zlobina,+E+A">E. A. Zlobina</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 24 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2408.03917" title="Abstract" id="2408.03917"> arXiv:2408.03917 </a> [<a href="/pdf/2408.03917" title="Download PDF" id="pdf-2408.03917" aria-labelledby="pdf-2408.03917">pdf</a>, <a href="https://arxiv.org/html/2408.03917v1" title="View HTML" id="html-2408.03917" aria-labelledby="html-2408.03917" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03917" title="Other formats" id="oth-2408.03917" aria-labelledby="oth-2408.03917">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Fluctuation of coherences in noisy mesoscopic quantum systems with diffusive transport </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Hruza,+L">Ludwig Hruza</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> PhD thesis, supervised by Denis Bernard and defended on 16/02/2024 at LPENS in Paris </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Statistical Mechanics (cond-mat.stat-mech) </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2408.03981" title="Abstract" id="2408.03981"> arXiv:2408.03981 </a> [<a href="/pdf/2408.03981" title="Download PDF" id="pdf-2408.03981" aria-labelledby="pdf-2408.03981">pdf</a>, <a href="https://arxiv.org/html/2408.03981v1" title="View HTML" id="html-2408.03981" aria-labelledby="html-2408.03981" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.03981" title="Other formats" id="oth-2408.03981" aria-labelledby="oth-2408.03981">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Higher Spin Statistics Theorem for Invertible Quantum Field Theories </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Krulewski,+C">Cameron Krulewski</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=M%C3%BCller,+L">Lukas M眉ller</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Stehouwer,+L">Luuk Stehouwer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages, no figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT) </div> </div> </dd> <dt> <a name='item22'>[22]</a> <a href ="/abs/2408.04201" title="Abstract" id="2408.04201"> arXiv:2408.04201 </a> [<a href="/pdf/2408.04201" title="Download PDF" id="pdf-2408.04201" aria-labelledby="pdf-2408.04201">pdf</a>, <a href="/format/2408.04201" title="Other formats" id="oth-2408.04201" aria-labelledby="oth-2408.04201">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Exact solution of a quantum integrable system associated with the $G_2$ exceptional Lie algebra </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Li,+G">Guang-Liang Li</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Cao,+J">Junpeng Cao</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Sun,+P">Pei Sun</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Yang,+W">Wen-Li Yang</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Shi,+K">Kangjie Shi</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Wang,+Y">Yupeng Wang</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Some numerical checks for small site numbers are added; 36 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Nucl. Phys. B 1010 (2025), 116777 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI) </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2408.04239" title="Abstract" id="2408.04239"> arXiv:2408.04239 </a> [<a href="/pdf/2408.04239" title="Download PDF" id="pdf-2408.04239" aria-labelledby="pdf-2408.04239">pdf</a>, <a href="https://arxiv.org/html/2408.04239v5" title="View HTML" id="html-2408.04239" aria-labelledby="html-2408.04239" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.04239" title="Other formats" id="oth-2408.04239" aria-labelledby="oth-2408.04239">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Hiroshima,+F">Fumio Hiroshima</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Shirai,+T">Tomoyuki Shirai</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item24'>[24]</a> <a href ="/abs/2408.04338" title="Abstract" id="2408.04338"> arXiv:2408.04338 </a> [<a href="/pdf/2408.04338" title="Download PDF" id="pdf-2408.04338" aria-labelledby="pdf-2408.04338">pdf</a>, <a href="https://arxiv.org/html/2408.04338v1" title="View HTML" id="html-2408.04338" aria-labelledby="html-2408.04338" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.04338" title="Other formats" id="oth-2408.04338" aria-labelledby="oth-2408.04338">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=De+Roeck,+W">Wojciech De Roeck</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Giacomin,+L">Lydia Giacomin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Huveneers,+F">Francois Huveneers</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Prosniak,+O">Oskar Prosniak</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 71 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Disordered Systems and Neural Networks (cond-mat.dis-nn) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2408.04457" title="Abstract" id="2408.04457"> arXiv:2408.04457 </a> [<a href="/pdf/2408.04457" title="Download PDF" id="pdf-2408.04457" aria-labelledby="pdf-2408.04457">pdf</a>, <a href="https://arxiv.org/html/2408.04457v1" title="View HTML" id="html-2408.04457" aria-labelledby="html-2408.04457" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.04457" title="Other formats" id="oth-2408.04457" aria-labelledby="oth-2408.04457">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the incompleteness of the classification of quadratically integrable Hamiltonian systems in the three-dimensional Euclidean space </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Snobl,+L">Libor Snobl</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2408.04542" title="Abstract" id="2408.04542"> arXiv:2408.04542 </a> [<a href="/pdf/2408.04542" title="Download PDF" id="pdf-2408.04542" aria-labelledby="pdf-2408.04542">pdf</a>, <a href="https://arxiv.org/html/2408.04542v1" title="View HTML" id="html-2408.04542" aria-labelledby="html-2408.04542" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.04542" title="Other formats" id="oth-2408.04542" aria-labelledby="oth-2408.04542">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Local Central Limit Theorem for unbounded long-range potentials </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Endo,+E+O">Eric O. Endo</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Fern%C3%A1ndez,+R">Roberto Fern谩ndez</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Margarint,+V">Vlad Margarint</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Xuan,+N+T">Nguyen Tong Xuan</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Probability (math.PR) </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2408.05073" title="Abstract" id="2408.05073"> arXiv:2408.05073 </a> [<a href="/pdf/2408.05073" title="Download PDF" id="pdf-2408.05073" aria-labelledby="pdf-2408.05073">pdf</a>, <a href="https://arxiv.org/html/2408.05073v1" title="View HTML" id="html-2408.05073" aria-labelledby="html-2408.05073" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.05073" title="Other formats" id="oth-2408.05073" aria-labelledby="oth-2408.05073">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Generalised Brillouin Zone for Non-Reciprocal Systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Ammari,+H">Habib Ammari</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Barandun,+S">Silvio Barandun</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Liu,+P">Ping Liu</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Uhlmann,+A">Alexander Uhlmann</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Materials Science (cond-mat.mtrl-sci); Rings and Algebras (math.RA); Optics (physics.optics) </div> </div> </dd> <dt> <a name='item28'>[28]</a> <a href ="/abs/2408.05261" title="Abstract" id="2408.05261"> arXiv:2408.05261 </a> [<a href="/pdf/2408.05261" title="Download PDF" id="pdf-2408.05261" aria-labelledby="pdf-2408.05261">pdf</a>, <a href="https://arxiv.org/html/2408.05261v2" title="View HTML" id="html-2408.05261" aria-labelledby="html-2408.05261" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.05261" title="Other formats" id="oth-2408.05261" aria-labelledby="oth-2408.05261">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Theory of metastable states in many-body quantum systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Yin,+C">Chao Yin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Surace,+F+M">Federica M. Surace</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Lucas,+A">Andrew Lucas</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27+35 pages; 6+3 figures. v2: improved proof of false vacuum decay rate, a few additional clarifications </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Physical Review X 15, 011064 (2025) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th) </div> </div> </dd> <dt> <a name='item29'>[29]</a> <a href ="/abs/2408.05309" title="Abstract" id="2408.05309"> arXiv:2408.05309 </a> [<a href="/pdf/2408.05309" title="Download PDF" id="pdf-2408.05309" aria-labelledby="pdf-2408.05309">pdf</a>, <a href="https://arxiv.org/html/2408.05309v1" title="View HTML" id="html-2408.05309" aria-labelledby="html-2408.05309" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.05309" title="Other formats" id="oth-2408.05309" aria-labelledby="oth-2408.05309">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Piecewise linear constitutive relations for stretch-limited elastic strings </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Bustamante,+R">Roger Bustamante</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Rajagopal,+K+R">K. R. Rajagopal</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Rodriguez,+C">Casey Rodriguez</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, 2 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Materials Science (cond-mat.mtrl-sci); Soft Condensed Matter (cond-mat.soft) </div> </div> </dd> <dt> <a name='item30'>[30]</a> <a href ="/abs/2408.05643" title="Abstract" id="2408.05643"> arXiv:2408.05643 </a> [<a href="/pdf/2408.05643" title="Download PDF" id="pdf-2408.05643" aria-labelledby="pdf-2408.05643">pdf</a>, <a href="https://arxiv.org/html/2408.05643v1" title="View HTML" id="html-2408.05643" aria-labelledby="html-2408.05643" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.05643" title="Other formats" id="oth-2408.05643" aria-labelledby="oth-2408.05643">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Enumerative geometry via elliptic stable envelope </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Smirnov,+A">Andrey Smirnov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 16 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item31'>[31]</a> <a href ="/abs/2408.05821" title="Abstract" id="2408.05821"> arXiv:2408.05821 </a> [<a href="/pdf/2408.05821" title="Download PDF" id="pdf-2408.05821" aria-labelledby="pdf-2408.05821">pdf</a>, <a href="https://arxiv.org/html/2408.05821v1" title="View HTML" id="html-2408.05821" aria-labelledby="html-2408.05821" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.05821" title="Other formats" id="oth-2408.05821" aria-labelledby="oth-2408.05821">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Elliptic Integrable Systems and Special Functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Halln%C3%A4s,+M">Martin Halln盲s</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Langmann,+E">Edwin Langmann</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages. Invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2408.06056" title="Abstract" id="2408.06056"> arXiv:2408.06056 </a> [<a href="/pdf/2408.06056" title="Download PDF" id="pdf-2408.06056" aria-labelledby="pdf-2408.06056">pdf</a>, <a href="https://arxiv.org/html/2408.06056v3" title="View HTML" id="html-2408.06056" aria-labelledby="html-2408.06056" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.06056" title="Other formats" id="oth-2408.06056" aria-labelledby="oth-2408.06056">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Circle Foliations Revisited: Periods of Flows whose Orbits are all Closed </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Miyanishi,+Y">Yoshihisa Miyanishi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, 2 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Differential Geometry (math.DG); Dynamical Systems (math.DS); Symplectic Geometry (math.SG); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item33'>[33]</a> <a href ="/abs/2408.06184" title="Abstract" id="2408.06184"> arXiv:2408.06184 </a> [<a href="/pdf/2408.06184" title="Download PDF" id="pdf-2408.06184" aria-labelledby="pdf-2408.06184">pdf</a>, <a href="https://arxiv.org/html/2408.06184v2" title="View HTML" id="html-2408.06184" aria-labelledby="html-2408.06184" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.06184" title="Other formats" id="oth-2408.06184" aria-labelledby="oth-2408.06184">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebra </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Adak,+M">Muzaffer Adak</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Dereli,+T">Tekin Dereli</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Kok,+E">Ertan Kok</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Sert,+O">Ozcan Sert</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> To appear in International Journal of Theoretical Physics </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Materials Science (cond-mat.mtrl-sci) </div> </div> </dd> <dt> <a name='item34'>[34]</a> <a href ="/abs/2408.06456" title="Abstract" id="2408.06456"> arXiv:2408.06456 </a> [<a href="/pdf/2408.06456" title="Download PDF" id="pdf-2408.06456" aria-labelledby="pdf-2408.06456">pdf</a>, <a href="https://arxiv.org/html/2408.06456v1" title="View HTML" id="html-2408.06456" aria-labelledby="html-2408.06456" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.06456" title="Other formats" id="oth-2408.06456" aria-labelledby="oth-2408.06456">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mathematical Exploration of the Intersection Between Extended Schrodinger-Virasoro Lie Algebras and Symplectic Novikov Lie Algebras </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Maiti,+S">Soumadeep Maiti</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item35'>[35]</a> <a href ="/abs/2408.06888" title="Abstract" id="2408.06888"> arXiv:2408.06888 </a> [<a href="/pdf/2408.06888" title="Download PDF" id="pdf-2408.06888" aria-labelledby="pdf-2408.06888">pdf</a>, <a href="/format/2408.06888" title="Other formats" id="oth-2408.06888" aria-labelledby="oth-2408.06888">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Fredholm Determinants from Schr枚dinger Type Equations, and Deformation of Tracy-Widom Distribution </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Kimura,+T">Taro Kimura</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Navand,+X">Xavier Navand</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 44 Pages. Added references </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Exactly Solvable and Integrable Systems (nlin.SI) </div> </div> </dd> <dt> <a name='item36'>[36]</a> <a href ="/abs/2408.06892" title="Abstract" id="2408.06892"> arXiv:2408.06892 </a> [<a href="/pdf/2408.06892" title="Download PDF" id="pdf-2408.06892" aria-labelledby="pdf-2408.06892">pdf</a>, <a href="https://arxiv.org/html/2408.06892v1" title="View HTML" id="html-2408.06892" aria-labelledby="html-2408.06892" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.06892" title="Other formats" id="oth-2408.06892" aria-labelledby="oth-2408.06892">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincar茅-Herglotz equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Simoes,+A+A">Alexandre Anahory Simoes</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Colombo,+L">Leonardo Colombo</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=de+Leon,+M">Manuel de Leon</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Salgado,+M">Modesto Salgado</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Souto,+S">Silvia Souto</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Symplectic Geometry (math.SG) </div> </div> </dd> <dt> <a name='item37'>[37]</a> <a href ="/abs/2408.07149" title="Abstract" id="2408.07149"> arXiv:2408.07149 </a> [<a href="/pdf/2408.07149" title="Download PDF" id="pdf-2408.07149" aria-labelledby="pdf-2408.07149">pdf</a>, <a href="https://arxiv.org/html/2408.07149v1" title="View HTML" id="html-2408.07149" aria-labelledby="html-2408.07149" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.07149" title="Other formats" id="oth-2408.07149" aria-labelledby="oth-2408.07149">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The spectral torsion for the Connes type operator </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Wang,+J">Jian Wang</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Wang,+Y">Yong Wang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item38'>[38]</a> <a href ="/abs/2408.07426" title="Abstract" id="2408.07426"> arXiv:2408.07426 </a> [<a href="/pdf/2408.07426" title="Download PDF" id="pdf-2408.07426" aria-labelledby="pdf-2408.07426">pdf</a>, <a href="https://arxiv.org/html/2408.07426v3" title="View HTML" id="html-2408.07426" aria-labelledby="html-2408.07426" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.07426" title="Other formats" id="oth-2408.07426" aria-labelledby="oth-2408.07426">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Symmetry groups of geodesic equations with applications in water waves </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Gervang,+B">Bo Gervang</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Luesink,+E">Erwin Luesink</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages, 1 figure, 7 tables. fourth version, all comments are welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item39'>[39]</a> <a href ="/abs/2408.07950" title="Abstract" id="2408.07950"> arXiv:2408.07950 </a> [<a href="/pdf/2408.07950" title="Download PDF" id="pdf-2408.07950" aria-labelledby="pdf-2408.07950">pdf</a>, <a href="/format/2408.07950" title="Other formats" id="oth-2408.07950" aria-labelledby="oth-2408.07950">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The bulk-edge correspondence for curved interfaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Drouot,+A">Alexis Drouot</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Zhu,+X">Xiaowen Zhu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 49 pages, 15 Figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item40'>[40]</a> <a href ="/abs/2408.08082" title="Abstract" id="2408.08082"> arXiv:2408.08082 </a> [<a href="/pdf/2408.08082" title="Download PDF" id="pdf-2408.08082" aria-labelledby="pdf-2408.08082">pdf</a>, <a href="https://arxiv.org/html/2408.08082v2" title="View HTML" id="html-2408.08082" aria-labelledby="html-2408.08082" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.08082" title="Other formats" id="oth-2408.08082" aria-labelledby="oth-2408.08082">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Achronal Localization, Representations of the Causal Logic for massive systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Castrigiano,+D+P">Domenico P.L. Castrigiano</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Letters in Mathematical Physics (2025) 115:25 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item41'>[41]</a> <a href ="/abs/2408.08136" title="Abstract" id="2408.08136"> arXiv:2408.08136 </a> [<a href="/pdf/2408.08136" title="Download PDF" id="pdf-2408.08136" aria-labelledby="pdf-2408.08136">pdf</a>, <a href="https://arxiv.org/html/2408.08136v1" title="View HTML" id="html-2408.08136" aria-labelledby="html-2408.08136" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.08136" title="Other formats" id="oth-2408.08136" aria-labelledby="oth-2408.08136">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Fluctuations in the non-linear supersymmetric hyperbolic sigma model with long-range interactions </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Disertori,+M">Margherita Disertori</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Merkl,+F">Franz Merkl</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Rolles,+S+W+W">Silke W. W. Rolles</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27 pages, 2 figures. This manuscripts was obtained by splitting and updating <a href="https://arxiv.org/abs/2305.07359v1" data-arxiv-id="2305.07359v1" class="link-https">arXiv:2305.07359v1</a> into this manuscript and <a href="https://arxiv.org/abs/2305.07359v2" data-arxiv-id="2305.07359v2" class="link-https">arXiv:2305.07359v2</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Probability (math.PR) </div> </div> </dd> <dt> <a name='item42'>[42]</a> <a href ="/abs/2408.08155" title="Abstract" id="2408.08155"> arXiv:2408.08155 </a> [<a href="/pdf/2408.08155" title="Download PDF" id="pdf-2408.08155" aria-labelledby="pdf-2408.08155">pdf</a>, <a href="https://arxiv.org/html/2408.08155v4" title="View HTML" id="html-2408.08155" aria-labelledby="html-2408.08155" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.08155" title="Other formats" id="oth-2408.08155" aria-labelledby="oth-2408.08155">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Integrals of Products of Bessel Functions: An Insight from the Physics of Bloch Electrons </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Covey,+J">Joshua Covey</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Maslov,+D+L">Dmitrii L. Maslov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages, 7 figures, submitted to Journal of Physics A: Mathematical and Theoretical (IOP) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Strongly Correlated Electrons (cond-mat.str-el) </div> </div> </dd> <dt> <a name='item43'>[43]</a> <a href ="/abs/2408.08532" title="Abstract" id="2408.08532"> arXiv:2408.08532 </a> [<a href="/pdf/2408.08532" title="Download PDF" id="pdf-2408.08532" aria-labelledby="pdf-2408.08532">pdf</a>, <a href="https://arxiv.org/html/2408.08532v2" title="View HTML" id="html-2408.08532" aria-labelledby="html-2408.08532" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.08532" title="Other formats" id="oth-2408.08532" aria-labelledby="oth-2408.08532">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Kulagin,+A+E">Anton E. Kulagin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Shapovalov,+A+V">Alexander V. Shapovalov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 38 pages, 6 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item44'>[44]</a> <a href ="/abs/2408.09257" title="Abstract" id="2408.09257"> arXiv:2408.09257 </a> [<a href="/pdf/2408.09257" title="Download PDF" id="pdf-2408.09257" aria-labelledby="pdf-2408.09257">pdf</a>, <a href="https://arxiv.org/html/2408.09257v1" title="View HTML" id="html-2408.09257" aria-labelledby="html-2408.09257" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09257" title="Other formats" id="oth-2408.09257" aria-labelledby="oth-2408.09257">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Kac-Weyl Character Identity </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Baker,+M+A">Michael A. Baker</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Bhandari,+D">Dipesh Bhandari</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Crescimanno,+M">Michael Crescimanno</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item45'>[45]</a> <a href ="/abs/2408.09274" title="Abstract" id="2408.09274"> arXiv:2408.09274 </a> [<a href="/pdf/2408.09274" title="Download PDF" id="pdf-2408.09274" aria-labelledby="pdf-2408.09274">pdf</a>, <a href="https://arxiv.org/html/2408.09274v1" title="View HTML" id="html-2408.09274" aria-labelledby="html-2408.09274" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09274" title="Other formats" id="oth-2408.09274" aria-labelledby="oth-2408.09274">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Matrix structure of classical ${\mathbb Z}_2 \times {\mathbb Z}_2$ graded Lie algebras </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Stoilova,+N">N.I. Stoilova</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Van+der+Jeugt,+J">J. Van der Jeugt</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Springer Proceedings in Mathematics &amp; Statistics, 473, 123 (2025) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Group Theory (math.GR); Rings and Algebras (math.RA); Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item46'>[46]</a> <a href ="/abs/2408.09525" title="Abstract" id="2408.09525"> arXiv:2408.09525 </a> [<a href="/pdf/2408.09525" title="Download PDF" id="pdf-2408.09525" aria-labelledby="pdf-2408.09525">pdf</a>, <a href="https://arxiv.org/html/2408.09525v1" title="View HTML" id="html-2408.09525" aria-labelledby="html-2408.09525" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09525" title="Other formats" id="oth-2408.09525" aria-labelledby="oth-2408.09525">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Infinite Bifurcations in Thomas system </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Sorin,+I">Idan Sorin</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Tulchinsky,+M">Michael Tulchinsky</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span> </div> </div> </dd> <dt> <a name='item47'>[47]</a> <a href ="/abs/2408.09578" title="Abstract" id="2408.09578"> arXiv:2408.09578 </a> [<a href="/pdf/2408.09578" title="Download PDF" id="pdf-2408.09578" aria-labelledby="pdf-2408.09578">pdf</a>, <a href="https://arxiv.org/html/2408.09578v1" title="View HTML" id="html-2408.09578" aria-labelledby="html-2408.09578" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09578" title="Other formats" id="oth-2408.09578" aria-labelledby="oth-2408.09578">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Two dimensional quantum central limit theorem by quantum walks </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Asahara,+K">Keisuke Asahara</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Funakawa,+D">Daiju Funakawa</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Seki,+M">Motoki Seki</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Suzuki,+A">Akito Suzuki</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 14 Pages, 8 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item48'>[48]</a> <a href ="/abs/2408.09816" title="Abstract" id="2408.09816"> arXiv:2408.09816 </a> [<a href="/pdf/2408.09816" title="Download PDF" id="pdf-2408.09816" aria-labelledby="pdf-2408.09816">pdf</a>, <a href="https://arxiv.org/html/2408.09816v1" title="View HTML" id="html-2408.09816" aria-labelledby="html-2408.09816" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09816" title="Other formats" id="oth-2408.09816" aria-labelledby="oth-2408.09816">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Asymptotic Expansion of the Eigenvalues of a Bathtub Potential with Quadratic Ends </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Zou,+Y">Yuzhou Zou</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item49'>[49]</a> <a href ="/abs/2408.09879" title="Abstract" id="2408.09879"> arXiv:2408.09879 </a> [<a href="/pdf/2408.09879" title="Download PDF" id="pdf-2408.09879" aria-labelledby="pdf-2408.09879">pdf</a>, <a href="https://arxiv.org/html/2408.09879v2" title="View HTML" id="html-2408.09879" aria-labelledby="html-2408.09879" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2408.09879" title="Other formats" id="oth-2408.09879" aria-labelledby="oth-2408.09879">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Isometries of the qubit state space with respect to quantum Wasserstein distances </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Simon,+R">Rich谩rd Simon</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Virosztek,+D">D谩niel Virosztek</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> v2: accepted manuscript version; final remarks added; 12 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Functional Analysis (math.FA); Metric Geometry (math.MG); Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item50'>[50]</a> <a href ="/abs/2408.09970" title="Abstract" id="2408.09970"> arXiv:2408.09970 </a> [<a href="/pdf/2408.09970" title="Download PDF" id="pdf-2408.09970" aria-labelledby="pdf-2408.09970">pdf</a>, <a href="/format/2408.09970" title="Other formats" id="oth-2408.09970" aria-labelledby="oth-2408.09970">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Shape Evolution of Fluid Deformable Surfaces under Active Geometric Forces </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Porrmann,+M">Maik Porrmann</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&amp;query=Voigt,+A">Axel Voigt</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 9 pages, 7 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Soft Condensed Matter (cond-mat.soft) </div> </div> </dd> </dl> <div class='paging'>Total of 389 entries : <span>1-50</span> <a href=/list/math-ph/2024-08?skip=50&amp;show=50>51-100</a> <a href=/list/math-ph/2024-08?skip=100&amp;show=50>101-150</a> <a href=/list/math-ph/2024-08?skip=150&amp;show=50>151-200</a> <span>...</span> <a href=/list/math-ph/2024-08?skip=350&amp;show=50>351-389</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math-ph/2024-08?skip=0&amp;show=25 rel="nofollow"> fewer</a> | <a href=/list/math-ph/2024-08?skip=0&amp;show=100 rel="nofollow"> more</a> | <a href=/list/math-ph/2024-08?skip=0&amp;show=2000 rel="nofollow"> all</a> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em"> <!-- Macro-Column 1 --> <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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