We consider one dimensional random walks in random environment where every time the process stays at a location, it dies with a fixed probability. Under some mild assumptions it is easy to show that the survival probability goes to zero as time tends to infinity. In this paper we derive formulas for the rate with which this probability decays. It turns out that there are three distinct regimes, depending on the law of the environment.
|Number of pages||22|
|Publication status||Published - 2014|
- Random walk in random environment
ASJC Scopus subject areas
- Statistics and Probability