Inventiones mathematicae

最新文章

• On the K-theory of division algebras over local fields (vol 21, pg 303, 2019) AI翻译
  作者：Hesselholt, Lars; Larsen, Michael; Lindenstrauss, Ayelet
  作者单位：Nagoya University; University of Copenhagen; Indiana University System; Indiana University Bloomington
• A uniqueness result for the decomposition of vector fields in Rd AI翻译
  作者：Bianchini, Stefano; Bonicatto, Paolo
  作者单位：International School for Advanced Studies (SISSA)
  摘要：Given a vector field.(1, b). L1 loc(R+ x Rd, Rd+1) such that divt, x(.(1, b)) is a measure, we consider the problem of uniqueness of the representation. of.(1, b)Ld+1 as a superposition of characteristics. : (t ., t +.). Rd,.. (t) = b(t,. (t)). We give conditions in terms of a local structure of the representation. on suitable sets in order to prove that there is a partition of Rd+1 into disjoint trajectories Pa, a. A, such that the PDE divt, x u.(1, b). M(Rd+1), u. L 8 (R+ x Rd), can be disin...
• Scl in graphs of groups AI翻译
  作者：Chen, Lvzhou
  作者单位：University of Chicago
  摘要：Let G be a group acting on a tree with cyclic edge and vertex stabilizers. Then stable commutator length (scl) is rational in G. Furthermore, scl varies predictably and converges to rational limits in so-called surgery families. This is a homological analog of the phenomenon of geometric convergence in hyperbolic Dehn surgery.
• Embedding minimal dynamical systems into Hilbert cubes AI翻译
  作者：Gutman, Yonatan; Tsukamoto, Masaki
  作者单位：Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; Kyushu University
  摘要：We study the problem of embedding minimal dynamical systems into the shift action on the Hilbert cube mml:mfenced close=) open=([0,1]NZ\ This problem is intimately related to the theory of mean dimension, which counts the average number of parameters for describing a dynamical system. Lindenstrauss proved that minimal systems of mean dimension less than cN for c=1/36 can be embedded in mml:mfenced close=) open=([0,1]NZ and asked what is the optimal value for c. We solve this problem by showing...
• Diffeomorphism groups of critical regularity (vol 73, pg 225, 2020) AI翻译
  作者：Kim, Sang-hyun; Koberda, Thomas
  作者单位：Korea Institute for Advanced Study (KIAS); University of Virginia
• Every classifiable simple C*-algebra has a Cartan subalgebra AI翻译
  作者：Li, Xin
  作者单位：University of London; Queen Mary University London
  摘要：We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.
• On disjointness properties of some parabolic flows AI翻译
  作者：Kanigowski, Adam; Lemanczyk, Mariusz; Ulcigrai, Corinna
  作者单位：University System of Maryland; University of Maryland College Park; University of Zurich; University of Bristol
  摘要：The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and used in her 1980th seminal works on horocycle flows, it pushed forward the disjointness theory of such systems. In this paper, exploiting a recent variation of the Ratner property, we prove new disjointness phenomena for smooth parabolic flows beyond the homogeneous world. In particular, we establish a general disjointn...
• Cohomology of p-adic Stein spaces AI翻译
  作者：Colmez, Pierre; Dospinescu, Gabriel; Niziol, Wieslawa
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Ecole Normale Superieure de Lyon (ENS de LYON)
  摘要：We compute p-adic etale and pro-etale cohomologies of Drinfeld half-spaces. In the pro-etale case, the main input is a comparison theorem for p-adic Stein spaces; the cohomology groups involved here are much bigger than in the case of etale cohomology of algebraic varieties or proper analytic spaces considered in all previous works. In the etale case, the classical p-adic comparison theorems allow us to pass to a computation of integral differential forms cohomologies which can be done because...
• Fourier uniformity of bounded multiplicative functions in short intervals on average AI翻译
  作者：Matomaki, Kaisa; Radziwill, Maksym; Tao, Terence
  作者单位：University of Turku; California Institute of Technology; University of California System; University of California Los Angeles
  摘要：Let lambda\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}, integral X2Xsup alpha n-ary sumation x<= x+H lambda(n)e(-alpha n)dx=o(XH)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \u...
• On the Lebesgue measure of the Feigenbaum Julia set AI翻译
  作者：Dudko, Artem; Sutherland, Scott
  作者单位：Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; State University of New York (SUNY) System; Stony Brook University
  摘要：We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than 2 (and consequently it has zero Lebesgue measure). This solves a long-standing open question.