Stable fluctuations for ballistic random walks in random environment on Z

Abstract : We consider transient random walks in random environment on Z in the positive speed (ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the hitting time of level $n$, after proper centering and normalization, converges to a completely asymmetric stable distribution, but does not describe its scale parameter. Following a previous article by three of the authors, where the (non-critical) zero speed case was dealt with, we give a new proof of this result in the subdiffusive case that provides a complete description of the limit law. The case of Dirichlet environment turns out to be remarkably explicit.
Type de document :
Pré-publication, Document de travail
2010
Liste complète des métadonnées

Littérature citée [20 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00467052
Contributeur : Laurent Tournier <>
Soumis le : jeudi 25 mars 2010 - 18:17:54
Dernière modification le : dimanche 15 octobre 2017 - 22:44:13
Document(s) archivé(s) le : lundi 28 juin 2010 - 16:44:45

Fichiers

stable_fluctu.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00467052, version 1
  • ARXIV : 1004.1333

Collections

Citation

Nathanaël Enriquez, Christophe Sabot, Laurent Tournier, Olivier Zindy. Stable fluctuations for ballistic random walks in random environment on Z. 2010. 〈hal-00467052〉

Partager

Métriques

Consultations de
la notice

229

Téléchargements du document

56