Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

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

Nathanaël Enriquez; Christophe Sabot; Olivier Zindy — 2009

Bulletin de la Société Mathématique de France

We consider transient one-dimensional random walks in a 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 $t$ .

Limit laws for transient random walks in random environment on $ℤ$

Nathanaël Enriquez; Christophe Sabot; Olivier Zindy — 2009

Annales de l’institut Fourier

We consider transient random walks in random environment on $ℤ$ with zero asymptotic speed. A classical result of Kesten, Kozlov and Spitzer says that the hitting time of the level $n$ converges in law, after a proper normalization, towards a positive stable law, but they do not obtain a description of its parameter. A different proof of this result is presented, that leads to a complete characterization of this stable law. The case of Dirichlet environment turns out to be remarkably explicit.

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

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

Limit laws for transient random walks in random environment on ℤ

Limit laws for transient random walks in random environment on $ℤ$