期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2013
卷号：X
页码：449-484
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We show that a sequence of birth-and-death chains, given by lazy randomwalks in a transient environment (RWRE) on [0, n], exhibits a cutoff in theballistic regime but does not exhibit a cutoff in the (interior of) the subballisticregime. We investigate the growth of the mixing times for this model. As an importantstep in the proof, we derive bounds for the quenched expectation and thequenched variance of the hitting times of the RWRE, which are of independentinterest.
关键词：Cutoff for Markov chains; random walk in random environment; mix-;ing times; hitting times .
