Asymptotic Behavior for Random Walks in Time-Random Environment on Z^1  

作　　者：HU Xue-ping ZHU Dong-jin 

机构地区：[1]Department of Mathematics, Anqing Normal College, Anhui 246011, China [2]College of Math. ＆ Comput. Sci., Anhui Normal University, Anhui 241000, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第1期199-206,共8页数学研究与评论（英文版）

基　　金：the Natural Science Foundation of Anhui Province （No. KJ2007B122）; the Youth Teachers Aid Item of Anhui Province （No. 2007jq1117）.

摘　　要：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 {Xn} on Z^1 satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks.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 {Xn} on Z^1 satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks.

关 键 词：Keywords Random walks in time-random environment recurrence-transience criteria stronglaw of large numbers central limit theorem. 

分 类 号：O211.62[理学—概率论与数理统计]