随机环境中相关随机游动的慢速度性质（英文）  

Slowdown Property for Correlated Random Walk in Random Environment

作　　者：王华明 

机构地区：[1]安徽师范大学数学系,芜湖241003

出　　处：《应用概率统计》2016年第4期341-348,共8页Chinese Journal of Applied Probability and Statistics

基　　金：supported by National Nature Science Foundation of China(11501008);Nature Science Foundation of Anhui Province(1508085QA12);Nature Science Foundation of Anhui Educational Committee(KJ2014A085)

摘　　要：考虑随机环境中相关随机游动.对暂留但具有零速度的情形,证明了游动趋向无穷的速度不但是次线性的,而且比n^(s')还慢,其中s'∈(s,∞),s是某个取值于(0,1)的常数.该结果刻画了游动的慢速度性质.Let （Xn ）n≥0 be a correlated random walk in random environment. For the sub-linear regime, that is, almost surely limn→∞ Xn =∞ but limn→∞ Xn /n = 0, we show that there is 0 〈 s 〈 1, such that almost surely lim n→∞Xn/n^s＇ = 0, for all s＇ 〉 s. This result characterizes then-slowdown property of the walk.

关 键 词：相关随机游动 随机环境 慢速度 

分 类 号：O211.6[理学—概率论与数理统计]