Survival time of random walk in random environment among soft obstacles.
Gantert, Nina, Popov, Serguei, Vachkovskaia, Marina (2009)
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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Mountford, Thomas S. (2001)
Electronic Journal of Probability [electronic only]
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Francis Comets, Serguei Popov (2004)
ESAIM: Probability and Statistics
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We consider the continuous time, one-dimensional random walk in random environment in Sinai’s regime. We show that the probability for the particle to be, at time and in a typical environment, at a distance larger than () from its initial position, is .
Bérard, Jean, Ramirez, Alejandro (2007)
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...
Martin P. W. Zerner (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Virchenko, Yuri P., Yastrubenko, M.I. (2006)
Abstract and Applied Analysis
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