Asymptotic Behavior for Random Walks in Time-Random Environment on $Z^1$
Received:October 27, 2005  Revised:July 13, 2007
Key Words: Random walks in time-random environment   recurrence-transience criteria   strong law of large numbers   central limit theorem.  
Fund Project:the Natural Science Foundation of Anhui Province (No. KJ2007B122); the Youth Teachers Aid Item of Anhui Province (No. 2007jql117).
Author NameAffiliation
HU Xue-ping Department of Mathematics, Anqing Normal College, Anhui 246011, China 
ZHU Dong-jin College of Math. & Comput. Sci., Anhui Normal University, Anhui 241000, China 
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      In this paper, we give a general model of random walks in time-random environment in any countable space. Moreover, when the environment is independently identically distributed, a recurrence-transience criterion and the law of large numbers are derived in the nearest-neighbor case on $Z^1$. At last, under regularity conditions, we prove that the RWIRE $\{X_n\}$ on $Z^1$ satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks.
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