随机环境中有界跳幅随机游动常返性暂留性的另一证明

Alternative Proof for the Recurrence and Transience of Random Walks in Random Environment with Bounded Jumps

假定环境是平稳遍历的,对具有有限跳幅的随机环境中的随机游动,该文给出了其常返性暂留性的另一证明.Bremont(2002)的文章中,通过计算逃逸概率的方法给出了证明,而该文的证明采用了鞅收敛定理的方法.

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（Bremont（2002）） by the method of computing the exit probability.