随机环境马氏链中的几种等价关系

Some Equivalence Relations in Markov Chains in Random Environments

假设Xn是定义在随机环境下具有有限或者可列的马氏链,本文利用Hopf马氏链和绕积马氏链的方法,研究了随机环境马氏链中的互通、相遇等等价关系,获得了一些与经典马氏链类似的结果,这些结果对进一步研究随机环境马氏链是有意义的.

Let {X_(n)} be a Markov chain in random environment with countable State space. In this paper, we investigate the equivalence relations of communication and meeting by using of the Hopf Markov chain and the skew product Markov chain and obtain some results like the corresponding results in classical Markov chain. These are usefull in the study of Markov chain in random environment.