Type transition of simple random walks on randomly directed regular lattices - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Journal of Applied Probability Année : 2014

Type transition of simple random walks on randomly directed regular lattices

Résumé

Simple random walks on a partially directed version of $\mathbb{Z}^2$ are considered. More precisely, vertical edges between neighbouring vertices of $\mathbb{Z}^2$ can be traversed in both directions (they are undirected) while horizontal edges are one-way. The horizontal orientation is prescribed by a random perturbation of a periodic function, the perturbation probability decays according to a power law in the absolute value of the ordinate. We study the type of the simple random walk, i.e.\ its being recurrent or transient, and show that there exists a critical value of the decay power, above which the walk is almost surely recurrent and below which is almost surely transient.
Fichier principal
Vignette du fichier
rwrol-decaying-randomness.pdf (191.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00690677 , version 1 (24-04-2012)
hal-00690677 , version 2 (18-03-2014)

Identifiants

Citer

Massimo Campanino, Dimitri Petritis. Type transition of simple random walks on randomly directed regular lattices. Journal of Applied Probability, 2014, 51 (4), pp.1065-1080. ⟨hal-00690677v2⟩
238 Consultations
159 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More