The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

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...

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Veröffentlicht in:	Annales de l'I.H.P. Probabilités et statistiques 2008-06, Vol.44 (3), p.574-591
Hauptverfasser:	Deuschel, Jean-Dominique, Kösters, Holger
Format:	Artikel
Sprache:	eng
Schlagworte:	60F17 60K37 Invariance principle Non-reversible Markov chains Random walks in random environments
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creator	Deuschel, Jean-Dominique Kösters, Holger
description	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.
doi_str_mv	10.1214/07-AIHP122
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subjects	60F17 60K37 Invariance principle Non-reversible Markov chains Random walks in random environments
title	The quenched invariance principle for random walks in random environments admitting a bounded cycle representation
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