The Study Of Some Problems For Closed Set And Recurrence Of Markov Chains In Stationary Random Environments

This paper consists of five parts.In the first chapter the Markov chains in random environment are defined and some properties of the Markov in random environment are studied.In the second chapter,we study the existence properties of minimal closed sets and give some conditions for existence of minimal sets.By closed set,in the conditions of π-irreducible Markov chains ,we study X's recurrence i.e,spread the conclusion for theory of classics Markov chains.In the fourth chapter,we study criteria of E and classify criteria.In the fifth chapter ,the weak crgodicity of X's and when does C1= C are studied.