随机马氏链的定义及性质

Defition and Properties of Markov Chains in Random Environments

假设{xn}是随机环境的马氏链─绕积马氏链,定义了一种特殊的hopf马氏链─绕积马氏链,并且讨论了绕积马氏链的主要性质及与随机马氏链的关系,得到了一种研究随机环境马氏链的主要方法.

Let {x_n} be Markov chains in random environments. In this paper, we define a kind of special hopf Markov chains-skew product Markov chains and investigate the main properties of skew product Markov chains and relation between skew product Markov chains and Markov chains in random environments. There are main ways in investigating Markov chains in random environments.