Recurrence and Strong Recurrence for Markov Chains in Random Environments
WU Xiao-min · Journal of Chongqing Technology and Business University · 2011
In this paper,we introduce the definition about the π-irrdeucibility and strong π-irrdeucibility for Markov chains in random environments.Some criterion that strong π-irrdeucibility Markov chains in random environment are recurrent are given,thereby the sufficient and necessary condition of strong recurrence of strong π-irrdeucibility Markov chains in random environments is obtained.The relation between recurrence and strong recurrence in the condition of strong π-irrdeucibility Markov chains in random environments is discussed.