Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “On the range of the simple random walk bridge on groups.”
Central limit theorem for the excited random walk in dimension .
Recurrent graphs where two independent random walks collide finitely often.
Krishnapur, Manjunath, Peres, Yuval (2004)
Electronic Communications in Probability [electronic only]
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Limiting behavior for the distance of a random walk.
Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Central limit theorems for the products of random matrices sampled by a random walk.
Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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Uniqueness of the mixing measure for a random walk in a random environment on the positive integers.
Eckhoff, Maren, Rolles, Silke W.W. (2009)
Electronic Communications in Probability [electronic only]
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Excited random walk.
Benjamini, Itai, Wilson, David B. (2003)
Electronic Communications in Probability [electronic only]
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Non-perturbative approach to random walk in Markovian environment.
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distribution.
Zachary, Stan, Foss, S.G. (2006)
Sibirskij Matematicheskij Zhurnal
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A functional limit theorem for a 2D-random walk with dependent marginals.
Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Asymptotic behaviour of the simple random walk on the 2-dimensional comb.
Bertacchi, Daniela (2006)
Electronic Journal of Probability [electronic only]
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Scaling of a random walk on a supercritical contact process
F. den Hollander, R. S. dos Santos (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We prove a strong law of large numbers for a one-dimensional random walk in a dynamic random environment given by a supercritical contact process in equilibrium. The proof uses a coupling argument based on the observation that the random walk eventually gets trapped inside the union of space–time cones contained in the infection clusters generated by single infections. In the case where the local drifts of the random walk are smaller than the speed at which infection clusters grow, the...
On coincidences in renewal streams
I. Kopocińska, B. Kopociński (1987)
Applicationes Mathematicae
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Giant vacant component left by a random walk in a random d-regular graph
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...