Multiple Ergodicity For Reversible Markov Chains  

作　　者：Yuan LIU 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences [2]University of Chinese Academy of Sciences

出　　处：《Acta Mathematicae Applicatae Sinica》2018年第4期863-868,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11431014,no.11688101);AMSS research grant(No.Y129161ZZ1);Key Laboratory of Random Complex Structures and Data,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(No.2008DP173182)

摘　　要：Inspired by the multiple recurrence and multiple ergodic theorems for measure preserving systems,we discuss an analogous question for measure preserving semigroups. In this note, we deal with the symmetric semigroups associated to reversible Markov chains.Inspired by the multiple recurrence and multiple ergodic theorems for measure preserving systems,we discuss an analogous question for measure preserving semigroups. In this note, we deal with the symmetric semigroups associated to reversible Markov chains.

关 键 词：Multiple recurrence reversible Markov chain 

分 类 号：O211.62[理学—概率论与数理统计]