典型文献
Measure Complexity and Rigid Systems
文献摘要：
In this paper we introduce two metrics:the max metricdn,qand the mean metric-dn,q.We give an equivalent characterization of rigid measure preserving systems by the two metrics.It turns out that an invariant measure μ on a topological dynamical system(X,T)has bounded complexity with respect to dn,q if and only if μ has bounded complexity with respect to-dn,q if and only if(X,Bx,μ,T)is rigid.We also obtain computation formulas of the measure-theoretic entropy of an ergodic measure preserving system(resp.the topological entropy of a topological dynamical system)by the two metrics dn,q and-dn,q.
文献关键词：
中图分类号：
作者姓名：
Wen HUANG;Run Ju WEI;Tao YU;Xiao Min ZHOU
作者机构：
CAS Wu Wen-Tsun Key Laboratory of Mathematics,School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,P.R.China;Department of Mathematics,Shantou University,Shantou 515063,P.R.China;Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,P.R.China
文献出处：
引用格式：
[1]Wen HUANG;Run Ju WEI;Tao YU;Xiao Min ZHOU-.Measure Complexity and Rigid Systems)[J].数学学报（英文版）,2022(01):68-84
A类：
metricdn,qand
B类：
Measure,Complexity,Rigid,Systems,In,this,paper,we,introduce,two,metrics,max,mean,We,give,equivalent,characterization,rigid,measure,preserving,systems,by,It,turns,out,that,invariant,topological,dynamical,has,bounded,complexity,respect,if,only,Bx,also,obtain,computation,formulas,theoretic,entropy,ergodic
AB值：
0.46241
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