Logarithmic components of the vacant set for random walk on a discrete torus.
Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Lember, Jüri, Matzinger, Heinrich (2008)
Electronic Journal of Probability [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Benjamini, Itai, Wilson, David B. (2003)
Electronic Communications in Probability [electronic only]
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Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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Jiří Černý, Augusto Teixeira, David Windisch (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We study the trajectory of a simple random walk on a -regular graph with ≥ 3 and locally tree-like structure as the number of vertices grows. Examples of such graphs include random -regular graphs and large girth expanders. For these graphs, we investigate percolative properties of the set of vertices not visited by the walk until time , where > 0 is a fixed positive parameter. We show that this so-called set exhibits a phase transition in in the following sense: there exists...
Lawler, Gregory F. (1998)
Electronic Communications in Probability [electronic only]
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Zerner, Martin P.W. (2002)
Electronic Communications in Probability [electronic only]
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Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Gantert, Nina, Popov, Serguei, Vachkovskaia, Marina (2009)
Electronic Journal of Probability [electronic only]
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