Article Dans Une Revue Journal of Applied Probability Année : 2008

Random Walk Delayed on Percolation Cluster

Résumé

We study a continuous time random walk on the d-dimensional lattice, subject to a drift and an attraction to large clusters of a subcritical Bernoulli site percolation. We find two distinct regimes: a ballistic one, and a subballistic one taking place when the attraction is strong enough. We identify the speed in the former case, and the algebraic rate of escape in the latter case. Finally, we discuss the diffusive behavior in the case of zero drift and weak attraction.

Fichier principal
Vignette du fichier
simenhaus_article2.pdf (172.21 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-00656007 , version 1 (03-01-2012)

Licence

Identifiants

Citer

Francis Comets, François Simenhaus. Random Walk Delayed on Percolation Cluster. Journal of Applied Probability, 2008, 45 (3), pp.689-702. ⟨10.1239/jap/1222441823⟩. ⟨hal-00656007⟩
232 Consultations
334 Téléchargements

Altmetric

Partager

  • More