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

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

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作  者:毛明志 韩东 

机构地区:[1]Department of Mathematics, Shanghai Jiao Tong University [2]School of Mathematics and Physics, China University of Geosciences

出  处:《Acta Mathematica Scientia》2009年第5期1383-1394,共12页数学物理学报(B辑英文版)

基  金:Sponsored by the NSFC (10531070);Research Foundation for Outstanding Young Teachers of China University of Geoscience (Wuhan) (0816)

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.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 

分 类 号:O211[理学—概率论与数理统计]

 

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