一类随机环境下随机游动的常返性

Recurrence criteria for random walk in a random environment

就一类平稳环境θ下随机流动{Xn}n∈Z+建立相应的Markov-双链{ηn}n∈Z+=(Xn,Tnθ)n∈Z+,并给出在该平稳环境θ下{Xn}n∈Z+为常返链的条件.

The skew product Markov Chain {η_n}_(n∈Z^+)=(X_n,T^n)_(n∈Z^+) on the basic of the random walk in the stochastically stationary environment was constructed, and the recurrence criteria for the random walk in the random environment was gaven.