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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Displaying similar documents to “Asymptotic behaviour of the simple random walk on the 2-dimensional comb.”
A functional limit theorem for a 2D-random walk with dependent marginals.
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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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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Convergence of coalescing nonsimple random walks to the Brownian web.
Newman, Charles M., Ravishankar, Krishnamurthi, Sun, Rongfeng (2005)
Electronic Journal of Probability [electronic only]
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Scaling limit of the prudent walk.
Beffara, Vincent, Friedli, Sacha, Velenik, Yvan (2010)
Electronic Communications in Probability [electronic only]
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Random walk attracted by percolation clusters.
Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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A lower bound on the growth exponent for loop-erased random walk in two dimensions
Gregory F. Lawler (1999)
ESAIM: Probability and Statistics
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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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The scaling limit of senile reinforced random walk.
Holmes, Mark P. (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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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...
Limiting behavior for the distance of a random walk.
Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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On the domination of a random walk on a discrete cylinder by random interlacements.
Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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