关键词: 随机环境中随机游动, 鞅收敛定理, 常返性, 暂留性

Abstract:

The authors derive a new proof of a recurrence and transience criteria for a class of random walks in random environment with bounded jumps, where the environment is assumed to be stationary and ergodic. Martingale convergence method is used in this paper, comparing the original one (Br\'emont (2002)) by the method of computing the  exit probability.

Key words: Random walks in random environment, Martingale convergence theorem, Recurrence, Transience