Inventiones mathematicae

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• On the largest product-free subsets of the alternating groups AI翻译
  作者：Keevash, Peter; Lifshitz, Noam; Minzer, Dor
  作者单位：University of Oxford; Hebrew University of Jerusalem; Massachusetts Institute of Technology (MIT)
  摘要：A subset A of a group G is called product-free if there is no solution to a = bc with a, b, c all in A. It is easy to see that the largest product-free subset of the symmetric group Sn is obtained by taking the set of all odd permutations, i.e. S-n\A(n), where A(n) is the alternating group. In 1985 Babai and Sos (Eur. J. Comb. 6(2):101-114, 1985) conjectured that the group A(n) also contains a product-free set of constant density. This conjecture was refuted by Gowers (whose result was subsequ...
• Direct summands of klt singularities AI翻译
  作者：Zhuang, Ziquan
  作者单位：Johns Hopkins University
  摘要：We show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Greb, Langlois and Moraga that reductive quotients of klt type singularities are of klt type.
• A predicted distribution for Galois groups of maximal unramified extensions (Apr, 10.1007/s00222-024-01257-1, 2024) AI翻译
  作者：Liu, Yuan; Wood, Melanie Matchett; Zureick-Brown, David
  作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Harvard University; Amherst College
• Aperiodic chain recurrence classes of C1-generic diffeomorphisms AI翻译
  作者：Bonatti, Christian; Shinohara, Katsutoshi
  作者单位：Universite Bourgogne Europe; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Hitotsubashi University
  摘要：We consider the space of C-1-diffeomorphims of a three dimensional closed manifold equipped with the C-1-topology. It is known that there are open sets in which C-1-generic diffeomorphisms display uncountably many chain recurrence classes, while only countably many of them may contain periodic orbits. The classes without periodic orbits, called aperiodic classes, are the main subject of this paper. The aim of the paper is to show that aperiodic classes of C-1-generic diffeomorphisms can exhibi...
• Stability of the Faber-Krahn inequality for the short-time Fourier transform AI翻译
  作者：Gomez, Jaime; Guerra, Andre; Ramos, Joao P. G.; Tilli, Paolo
  作者单位：Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Swiss Federal Institutes of Technology Domain; ETH Zurich; Polytechnic University of Turin
  摘要：We prove a sharp quantitative version of the Faber-Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit delta(f;omega)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\delta (f;\Omega )$\end{document} which measures by how much the STFT of a function f is an element of L2(R)\d...
• Scalar curvature rigidity of convex polytopes AI翻译
  作者：Brendle, Simon
  作者单位：Columbia University
  摘要：We prove a scalar curvature rigidity theorem for convex polytopes. The proof uses the Fredholm theory for Dirac operators on manifolds with boundary. A variant of a theorem of Fefferman and Phong plays a central role in our analysis.
• Morse inequalities for ordered eigenvalues of generic self-adjoint families AI翻译
  作者：Berkolaiko, Gregory; Zelenko, Igor
  作者单位：Texas A&M University System; Texas A&M University College Station
  摘要：In many applied problems one seeks to identify and count the critical points of a particular eigenvalue of a smooth parametric family of self-adjoint matrices, with the parameter space often being known and simple, such as a torus. Among particular settings where such a question arises are the Floquet-Bloch decomposition of periodic Schr & ouml;dinger operators, topology of potential energy surfaces in quantum chemistry, spectral optimization problems such as minimal spectral partitions of man...
• N-point spherical functions and asymptotic boundary KZB equations (vol 229, pg 1, 2022) AI翻译
  作者：Stokman, J. V.; Reshetikhin, N.
  作者单位：University of Amsterdam; Tsinghua University; University of California System; University of California Berkeley
• Persistence of heterodimensional cycles AI翻译
  作者：Li, Dongchen; Turaev, Dmitry
  作者单位：Imperial College London
  摘要：A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic periodic orbits with different dimensions of their unstable manifolds and a pair of orbits that connect them. For systems which are at least C 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$C<^>{2}$\end{document} , we...
• Long range order for three-dimensional random field Ising model throughout the entire low temperature regime AI翻译
  作者：Ding, Jian; Liu, Yu; Xia, Aoteng
  作者单位：Peking University
  摘要：For d >= 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$d\geq 3$\end{document}, we study the Ising model on Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{...