平滑混合三维的阿诺索夫流是指数混合

IF 5.7 1区数学 Q1 MATHEMATICS Annals of Mathematics Pub Date : 2020-06-08 DOI:10.4007/annals.2023.197.1.2

M. Tsujii, Zhiyuan Zhang

引用次数: 19

摘要

我们证明了拓扑混合$C^\infty$三维紧致流形上的Anosov流是相对于任何具有Holder势的平衡测度的指数混合。

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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Smooth mixing Anosov flows in dimension three are exponentially mixing

We show that a topologically mixing $C^\infty$ Anosov flow on a 3 dimensional compact manifold is exponential mixing with respect to any equilibrium measure with Holder potential.

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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.

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