LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

doi:10.1016/S0252-9602(09)60111-9

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1383-1394.doi: 10.1016/S0252-9602(09)60111-9

LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

毛明志, 韩东

1.Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
2.School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

收稿日期:2006-12-06 修回日期:2007-09-24 出版日期:2009-09-20 发布日期:2009-09-20
基金资助:
Sponsored by the NSFC (10531070) and Research Foundation for Outstanding Young Teachers of China University of Geoscience (Wuhan) (0816)

LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

MAO Ming-Zhi, HAN Dong

1.Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
2.School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

Received:2006-12-06 Revised:2007-09-24 Online:2009-09-20 Published:2009-09-20
Supported by:
Sponsored by the NSFC (10531070) and Research Foundation for Outstanding Young Teachers of China University of Geoscience (Wuhan) (0816)

摘要/Abstract

摘要：

In this article, the authors mainly discuss the law of large number under Kalikow's condition for multi-dimensional random walks in random environment with holding times. The authors give an expression to the escape speed of random walks in terms of the Lyapounov exponents, which have been precisely used in the context of large deviation.

关键词: random walk, random environment, Lyapounov exponents, law of large numbers, renewal structure

Abstract:

Key words: random walk, random environment, Lyapounov exponents, law of large numbers, renewal structure

中图分类号:

60J10

毛明志, 韩东. LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES[J]. 数学物理学报(英文版), 2009, 29(5): 1383-1394.

MAO Ming-Zhi, HAN Dong. LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES[J]. Acta mathematica scientia,Series B, 2009, 29(5): 1383-1394.

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LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

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