Aging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We consider transient one-dimensional random walks in random environment with zero asymptotic speed. An aging phenomenon involving the generalized Arcsine law is proved using the localization of the walk at the foot of "valleys" of height $\log t$. In the quenched setting, we also sharply estimate the distribution of the walk at time $t$.
24 pages, accepted for publication in "Bulletin de la SMF"
24 pages, accepted for publication in "Bulletin de la SMF"