期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2014
卷号：XI
页码：823-844
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider one dimensional random walks in random environmentwhere every time the process stays at a location, it dies with a xed probability.Under some mild assumptions it is easy to show that the survival probability goesto zero as time tends to in nity. In this paper we derive formulas for the rate withwhich this probability decays. It turns out that there are three distinct regimes,depending on the law of the environment.
