Quasi-shadowing for Zd-actions

被引：0

作者：

Pan, Juan ^{[1
]}

Ren, Xian Kun ^{[2
]}

Zhou, Yun Hua ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 06期

关键词：

Quasi-shadowing; Z(d)-action; non-uniformly partially hyperbolic; ergodic measure; PERIODIC POINTS; DIFFEOMORPHISMS; HYPERBOLICITY; ENTROPY; AXIOM;

D O I：

10.1007/s10114-023-1681-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：1563 / 1580

页数：18

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