Excited random walk on trees.
Volkov, Stanislav (2003)
Electronic Journal of Probability [electronic only]
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Volkov, Stanislav (2003)
Electronic Journal of Probability [electronic only]
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Löwe, Matthias, Matzinger, Heinrich, Merkl, Franz (2004)
Electronic Journal of Probability [electronic only]
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Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Friedrich, Tobias, Sauerwald, Thomas (2010)
The Electronic Journal of Combinatorics [electronic only]
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Janson, Svante (2009)
Electronic Journal of Probability [electronic only]
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Bloznelis, Mindaugas (2010)
The Electronic Journal of Combinatorics [electronic only]
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Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Pete, Gabor (2008)
Electronic Communications in Probability [electronic only]
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Shang, Yilun (2011)
International Journal of Combinatorics
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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...
Teixeira, Augusto (2009)
Electronic Journal of Probability [electronic only]
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Kesten, H., Sidoravicius, V., Zhang, Y. (1998)
Electronic Journal of Probability [electronic only]
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