On codimension one partially hyperbolic diffeomorphisms

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-11-02 DOI:10.3934/dcds.2023066

Xiang Zhang

引用次数: 0

Abstract

We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.

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余维数为1的部分双曲微分同态

我们证明了在$\mathbb{T}^{n}$上必须支持每一个余维数为1的部分双曲微分同态。它是局部唯一可积的，由一个线性余维的Anosov微分同态导出。此外，该系统本质上是遍历的，并且A. Katok关于具有中间熵的遍历测度的存在性的猜想也成立。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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