9 citations · 15 across the 5 of their papers we have counts for
5 papers · 1 filter
Scaling limit and aging for directed trap models
Olivier Zindy
We consider one-dimensional directed trap models and suppose that the trapping times are heavy-tailed. We obtain the inverse of a stable subordinator as scaling limit and prove an…
Aging and quenched localization for one-dimensional random walks in random environment in the sub-ballistic regime
Nathanaël Enriquez, Christophe Sabot, Olivier Zindy
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 l…
Limit laws for transient random walks in random environment on $\z$
Nathanaël Enriquez, Christophe Sabot, Olivier Zindy
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 leve…
A probabilistic representation of constants in Kesten's renewal theorem
Nathanaël Enriquez, Christophe Sabot, Olivier Zindy
The aims of this paper are twofold. Firstly, we derive some probabilistic representation for the constant which appears in the one-dimensional case of Kesten's renewal theorem. Sec…
Upper limits of Sinai's walk in random scenery
Olivier Zindy
We consider Sinai's walk in i.i.d. random scenery and focus our attention on a conjecture of Révész \cite{r05} concerning the upper limits of Sinai's walk in random scenery when th…