Mathematics – Probability
Scientific paper
2008-06-16
Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2008, Vol. 44, No. 3, 574-591
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/07-AIHP122 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiqu
Scientific paper
10.1214/07-AIHP122
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.
Deuschel Jean-Dominique
Kösters Holger
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