UNIQUENESS, ERGODICITY AND UNIDIMENSIONALITY OF INVARIANT MEASURES UNDER A MARKOV OPERATOR  

作　　者：唐军民 张继宏 章雄鹰 

机构地区：[1]School of Mathematics and Statistics, Wuhan University [2]Institute of Mathematics, Hangzhou Dianzi University [3]Department of Mathematics, South China University of Technology

出　　处：《Acta Mathematica Scientia》2009年第5期1309-1322,共14页数学物理学报（B辑英文版）

摘　　要：Let X be a compact metric space and C（X） be the space of all continuous functions on X. In this article, the authors consider the Markov operator T ： C（X）N C（X）N defined by for any f = （f1,f2,… ,fN）, where （pij） is a N x N transition probability matrix and {wij } is an family of continuous transformations on X. The authors study the uniqueness, ergodicity and unidimensionality of T＊-invariant measures where T＊ is the adjoint operator of T.Let X be a compact metric space and C（X） be the space of all continuous functions on X. In this article, the authors consider the Markov operator T ： C（X）N C（X）N defined by for any f = （f1,f2,… ,fN）, where （pij） is a N x N transition probability matrix and {wij } is an family of continuous transformations on X. The authors study the uniqueness, ergodicity and unidimensionality of T＊-invariant measures where T＊ is the adjoint operator of T.

关 键 词：Markov operator invariant measure ERGODICITY UNIDIMENSIONALITY 

分 类 号：O211.62[理学—概率论与数理统计] O177.3[理学—数学]