Quasi-shadowing for Z^(d)-actions  

作　　者：Juan PAN Xian Kun REN Yun Hua ZHOU 

机构地区：[1]School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,P.R.China [2]College of Mathematics and Statistics,Chongqing University,Chongqing 401331,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第6期1563-1580,共18页数学学报（英文版）

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)。

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 quasishadowing property if one of the generators is C^(1+α)(α>0)non-uniformly partially hyperbolic.

关 键 词：Quasi-shadowing Z^(d)-action non-uniformly partially hyperbolic ergodic measure 

分 类 号：O174.12[理学—数学]