Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 289-296.

• Articles •     Next Articles

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

WANG Shi-Dong, HONG Wen-Ming   

  1. School of Mathematical Sciences &|Laboratory of |Mathematics and Complex Systems, Beijing Normal University, Beijing 100875
  • Received:2008-05-15 Revised:2009-12-29 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10721091)和 教育部新世纪优秀人才支持计划 NCET(05-0143)资助.

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

CLC Number: 

  • 60J10
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