ℤd-作用的准阴影

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2023-12-29 DOI:10.1007/s10114-023-1681-1

Juan Pan, Xian Kun Ren, Yun Hua Zhou

引用次数: 0

摘要

如果一个衍射保留了至少一个零 Lyapunov 指数的遍历度量，那么它就是非均匀部分双曲的。我们证明，如果 C1-smooth ℤd-action 的一个生成器是 C1+α (α > 0) 非均匀部分双曲的，那么它就具有准阴影性质。

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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Quasi-shadowing for ℤd-actions

A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a C¹-smooth ℤ^d-action has the quasi-shadowing property if one of the generators is C^1+α (α > 0) non-uniformly partially hyperbolic.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.