Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel–Leader graphs
Sara Brofferio, Wolfgang Woess (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Sara Brofferio, Wolfgang Woess (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Eckhoff, Maren, Rolles, Silke W.W. (2009)
Electronic Communications in Probability [electronic only]
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Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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J. H. B. Kemperman (1974)
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Dajani, Karma, Meester, Ronald (2003)
International Journal of Mathematics and Mathematical Sciences
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Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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Jean-Dominique Deuschel, Holger Kösters (2008)
Annales de l'I.H.P. Probabilités et statistiques
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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 ( (2004) 219–244) to the non-reversible setting.
Le Prince, Vincent (2008)
Electronic Communications in Probability [electronic only]
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