Slowdown estimates for one-dimensional random walks in random environment with holding times

Electronic Communications in Probability

Amir Dembo¹ 

关键词: random walk;    random environment;    large deviation;    slowdown;   

DOI  :  10.1214/18-ECP191

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random walk is assumed to be spatially inhomogeneous and random. We study the probability that the random walk travels slower than its typical speed and determine its decay rate asymptotic.

【 授权许可】

CC BY