Quasi-shadowing for Z^(d)-actions

作     者：Juan PAN Xian Kun REN Yun Hua ZHOU Juan PAN;Xian Kun REN;Yun Hua ZHOU

作者机构：School of Mathematics and StatisticsChongqing Technology and Business UniversityChongqing 400067P.R.China College of Mathematics and StatisticsChongqing UniversityChongqing 401331P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第6期

页      面：1563-1580页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN202300802) the second author is supported by NSFC(Grant Nos.11801261,12071285) the third author is supported by NSFC(Grant Nos.11871120,12071082) Natural Science Foundation of Chongqing(Grant No.cstc2021jcyj-msxmX0299) 

主　　题：Quasi-shadowing Z^(d)-action non-uniformly partially hyperbolic ergodic measure 

摘      要：A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov *** prove that a C^(1)-smooth Z^(d)-action has the quasishadowing property if one of the generators is C^(1+α)(α0)non-uniformly partially hyperbolic.