随机环境中相关随机游动的慢速度性质

Slowdown Property for Correlated Random Walk in Random Environment

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, 而且比还慢, 其中, 是某个取值于的常数. 该结果刻画了游动的慢速度性质.

Abstract: Let be a correlated random walk in random environment. For the sub-linear regime, that is, almost surely but , we show that there is 0<s<1, such that almost surely , for all s'>s. This result characterizes the slowdown property of the walk.