Quenched limits for the fluctuations of transient random walks in random environment on Z

Abstract : We consider transient nearest-neighbour random walks in random environment on Z. For a set of environments whose probability is converging to 1 as time goes to infinity, we describe the fluctuations of the hitting time of a level n, around its mean, in terms of an explicit function of the environment. Moreover, their limiting law is described using a Poisson point process whose intensity is computed. This result can be considered as the quenched analog of the classical result of Kesten, Kozlov and Spitzer (1975).
Document type :
Journal articles
Ann. Appl. Probab., 2013, 23 (3), pp.1148-1187. <10.1214/12-AAP867>
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00543882
Contributor : Christophe Sabot <>
Submitted on : Thursday, September 19, 2013 - 10:54:02 AM
Last modification on : Monday, May 29, 2017 - 2:24:40 PM
Document(s) archivé(s) le : Thursday, April 6, 2017 - 11:45:17 PM

File

AAP-2013.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Nathanaël Enriquez, Christophe Sabot, Laurent Tournier, Olivier Zindy. Quenched limits for the fluctuations of transient random walks in random environment on Z. Ann. Appl. Probab., 2013, 23 (3), pp.1148-1187. <10.1214/12-AAP867>. <hal-00543882v3>

Share

Metrics

Record views

226

Document downloads

72