指数混合意味着伯努利 | 数学年鉴

IF 8.3 2区材料科学 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY

ACS Applied Materials & Interfaces 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

ACS Applied Materials & Interfaces 工程技术-材料科学：综合

CiteScore

16.00

自引率

6.30%

发文量

4978

审稿时长

1.8 months

期刊介绍： ACS Applied Materials & Interfaces is a leading interdisciplinary journal that brings together chemists, engineers, physicists, and biologists to explore the development and utilization of newly-discovered materials and interfacial processes for specific applications. Our journal has experienced remarkable growth since its establishment in 2009, both in terms of the number of articles published and the impact of the research showcased. We are proud to foster a truly global community, with the majority of published articles originating from outside the United States, reflecting the rapid growth of applied research worldwide.