指数混合意味着伯努利 | 数学年鉴

IF 5.7 1区数学 Q1 MATHEMATICS

Annals of Mathematics Pub Date : 2024-05-01 DOI:10.4007/annals.2024.199.3.5

Dmitry Dolgopyat, Adam Kanigowski, Federico Rodriguez Hertz

引用次数: 0

摘要

让 $f$ 是紧凑流形 $M$ 的保留光滑度量 $\mu$ 的 $C^{1+\alpha}$ diffeomorphism。我们证明，如果 $f\colon (M,\mu)\to (M,\mu)$ 是指数混合的，那么它就是伯努利的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential mixing implies Bernoulli | Annals of Mathematics

Let $f$ be a $C^{1+\alpha}$ diffeomorphism of a compact manifold $M$ preserving a smooth measure $\mu$. We show that if $f\colon (M,\mu)\to (M,\mu)$ is exponentially mixing, then it is Bernoulli.

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.