Aging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime

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dc.creatorEnriquez, Nathanaël
dc.creatorSabot, Christophe
dc.creatorZindy, Olivier
dc.date2007-11-07
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:26Z
dc.date.available2026-07-07T13:01:26Z
dc.descriptionWe 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 $t$.
dc.description24 pages, accepted for publication in "Bulletin de la SMF"
dc.identifierhttps://arxiv.org/abs/0711.1095
dc.identifierhttp://arxiv.org/abs/0711.1095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226147
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K37 (Primary) 60G50, 60J45, 82D30 (Secondary)
dc.titleAging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime
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