ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES

doi:10.1016/S0252-9602(10)60163-4

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1696-1708.doi: 10.1016/S0252-9602(10)60163-4

ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES

毛明志¹|李志民²

1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China；
2. Department of Applied Mathematics and Physics, Anhui Institute of Science and Technology, Wuhu 241000, China

收稿日期:2007-11-15 修回日期:2009-04-11 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
Project supported by National Natural Science Foundation of China (10531070) and Research Foundation for Outstanding Young Teachers of China University of Geoscience(Wuhan) (CUGQNL0816).

ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES

MAO Ming-Zhi¹, LI Zhi-Min²

1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China；
2. Department of Applied Mathematics and Physics, Anhui Institute of Science and Technology, Wuhu 241000, China

Received:2007-11-15 Revised:2009-04-11 Online:2010-09-20 Published:2010-09-20
Supported by:
Project supported by National Natural Science Foundation of China (10531070) and Research Foundation for Outstanding Young Teachers of China University of Geoscience(Wuhan) (CUGQNL0816).

摘要/Abstract

摘要：

In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with
holding times. By constructing a renewal structure and using the point "environment viewed from the particle'', under General Kalikow's
Condition, we show the law of large numbers (LLN) and central limit theorem (CLT) for the escape speed of random walk.

关键词: random walk, random environment, central limit theorem, law of large numbers, renewal structure

Abstract:

Key words: random walk, random environment, central limit theorem, law of large numbers, renewal structure

中图分类号:

60J10

毛明志, 李志民. ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES[J]. 数学物理学报(英文版), 2010, 30(5): 1696-1708.

MAO Ming-Zhi, LI Zhi-Min. ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1696-1708.

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ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES

ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES

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