2期

最新文章

• Voronoi conjecture for five-dimensional parallelohedra AI翻译
  作者：Garber, Alexey
  作者单位：University of Texas System; University of Texas Rio Grande Valley
  摘要：We prove the Voronoi conjecture for five-dimensional parallelohedra. Namely, we show that if a convex five-dimensional polytope P\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$P$\end{document} tiles R5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} ...
• Intermediate complex structure limit for Calabi-Yau metrics AI翻译
  作者：Li, Yang
  摘要：We study polarised degenerations of n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$n$\end{document}-dimensional Calabi-Yau hypersurfaces {F0F1 & mldr;Fm+tF=0}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} ...
• Sharp bounds on the Nusselt number in Rayleigh-Bénard convection and a bilinear estimate by Coifman-Meyer AI翻译
  作者：Chanillo, Sagun; Malchiodi, Andrea
  作者单位：Rutgers University System; Rutgers University New Brunswick; Scuola Normale Superiore di Pisa
  摘要：We prove a conjecture in fluid dynamics concerning optimal bounds for heat transportation in the infinite Prandtl number limit and for large Rayleigh number Ra\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathrm{Ra}$\end{document}, predicted in (Howard in Proceedings of the 11th International Congress of Applied ...
• The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics AI翻译
  作者：Arana-Herrera, Francisco; Calderon, Aaron
  作者单位：University System of Maryland; University of Maryland College Park; University of Chicago
  摘要：Cutting a hyperbolic surface X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$X$\end{document} along a simple closed multi-geodesic results in a hyperbolic structure on the complementary subsurface. We study the distribution of the shapes of these subsurfaces in moduli space as boundary lengths go to infinity, showi...
• Joint ergodicity for commuting transformations and applications to polynomial sequences AI翻译
  作者：Frantzikinakis, Nikos; Kuca, Borys
  作者单位：University of Crete; Jagiellonian University
  摘要：We give necessary and sufficient conditions for joint ergodicity results of collections of sequences with respect to systems of commuting measure preserving transformations. Combining these results with a new technique that we call seminorm smoothing, we settle several conjectures related to multiple ergodic averages of commuting transformations with polynomial iterates. We show that the Host-Kra factor is characteristic for pairwise independent polynomials, and that under certain ergodicity c...
• On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting AI翻译
  作者：Gomide, Otavio M. L.; Guardia, Marcel; Seara, Tere M.; Zeng, Chongchun
  作者单位：Universidade Federal de Goias; University of Barcelona; Centre de Recerca Matematica (CRM); Universitat Politecnica de Catalunya; Universitat Politecnica de Catalunya; University System of Georgia; Georgia Institute of Technology
  摘要：Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for certain integrable PDEs but are believed to be rare in non-integrable ones such as nonlinear Klein-Gordon equations. In this paper we show that small amplitude breathers of any temporal frequency do not exist for semilinear Klein-Gordon equations with generic analytic odd nonlinearities. A breather with small amplitude...
• Group actions on contractible 2-complexes II AI翻译
  作者：Piterman, Kevin Ivan; Costa, Ivan Sadofschi
  作者单位：University of Buenos Aires; Vrije Universiteit Brussel
  摘要：In this second part we prove that, if G is one of the groups PSL2(q) with q > 5 and q-5 (mod 24) or q-13 (mod 24), then the fundamental group of every acyclic 2dimensional, fixed point free and finite G-complex admits a nontrivial representation in a unitary group U(m). This completes the proof of the following result: every action of a finite group on a finite and contractible 2-complex has a fixed point.
• Liouville property for groups and conformal dimension AI翻译
  作者：Bon, Nicolas Matte; Nekrashevych, Volodymyr; Zheng, Tianyi
  作者单位：Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet; Texas A&M University System; Texas A&M University College Station; University of California System; University of California San Diego
  摘要：Conformal dimension is a fundamental invariant of metric spaces, particularly suited to the study of self-similar spaces, such as spaces with expanding self-coverings (e.g., Julia sets of complex rational functions). The dynamics of these systems are encoded by the associated iterated monodromy groups, which are examples of contracting self-similar groups. Their amenability is a well-known open question. We show that if G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \...
• On the Serre conjecture for Artin characters in the geometric case AI翻译
  作者：Abe, Tomoyuki
  作者单位：University of Tokyo
  摘要：Let G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G$\end{document} be a finite group and A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum...
• Every diffeomorphism is a total renormalization of a close to identity map AI翻译
  作者：Berger, Pierre; Gourmelon, Nicolaz; Helfter, Mathieu
  作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Bordeaux
  摘要：For any 1 <= r <=infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1\le r\le \infty $\end{document}, we show that every diffeomorphism of a manifold of the form R/ZxM\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackag...