Limit laws for transient random walks in random environment on $\z$
| dc.creator | Enriquez, Nathanaël | |
| dc.creator | Sabot, Christophe | |
| dc.creator | Zindy, Olivier | |
| dc.date | 2007-03-22 | |
| dc.date | 2009-04-09 | |
| dc.date.accessioned | 2026-07-07T13:01:47Z | |
| dc.date.available | 2026-07-07T13:01:47Z | |
| dc.description | 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. | |
| dc.description | 31 pages, accepted for publication in "Annales de l'Institut Fourier" | |
| dc.identifier | https://arxiv.org/abs/math/0703660 | |
| dc.identifier | http://arxiv.org/abs/math/0703660 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226267 | |
| dc.subject | Probability | |
| dc.subject | 60K37, 60F05 (Primary), 60F17, 60E07, 60E10 (Secondary) | |
| dc.title | Limit laws for transient random walks in random environment on $\z$ | |
| dc.type | text |