On the range of the simple random walk bridge on groups.
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
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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Berestycki, Nathanael, Durrett, Rick (2008)
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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Friedrich, Tobias, Sauerwald, Thomas (2010)
The Electronic Journal of Combinatorics [electronic only]
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Volkov, Stanislav (2003)
Electronic Journal of Probability [electronic only]
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Kang, Mihyun (2003)
International Journal of Mathematics and Mathematical Sciences
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Boivin, Daniel, Derrien, Jean-Marc (2002)
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...
Bertacchi, Daniela (2006)
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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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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