ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES  

作　　者：毛明志 李志民 

机构地区：[1]School of Mathematics and Physics,China University of Geosciences [2]Department of Applied Mathematics and Physics,Anhui Institute of Science and Technology

出　　处：《Acta Mathematica Scientia》2010年第5期1696-1708,共13页数学物理学报（B辑英文版）

基　　金：Project supported by National Natural ScienceFoundation of China(10531070);Research Foundation for Outstanding Young Teachers of China University of Geoscience(Wuhan) (CUGQNL0816)

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.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 

分 类 号：O211.4[理学—概率论与数理统计]