Journal
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
Volume 44, Issue 3, Pages 574-591Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/07-AIHP122
Keywords
invariance principle; random walks in random environments; non-reversible Markov chains
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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.
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