The quenched invariance principle for random walks in random environments admitting a bounded cycle representation
Probability
2008-12-18 v1
Abstract
We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman (Probab. Theory Related Fields 129 (2004) 219--244) to the non-reversible setting.
Cite
@article{arxiv.0806.2525,
title = {The quenched invariance principle for random walks in random environments admitting a bounded cycle representation},
author = {Jean-Dominique Deuschel and Holger Kösters},
journal= {arXiv preprint arXiv:0806.2525},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.1214/07-AIHP122 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)