一类随机环境下随机游动的保守集和常返性

The conservative part and recurrence criteria for random walk in a random environment

就一类平稳遍历随机环境ξ下随机游动{Xn}n∈Z+给出相应的Markov-双链{Xn}n∈Z+={(Xn,Tnξ)}n∈Z+的保守集,和在该平稳遍历环境ξ下{Xn}n∈Z+为常返链的条件。

To construct the skew product Markov Chain {Xn}n∈z^＋={（Xm,T^nε）}n∈E^z＋ on the basis of the random walk in the stochastically stationary and ergodic environment, the paper presents the conservative part and the recurrence criteria for the random walk in the random environment.