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 “A condition for weak disorder for directed polymers in random environment.”
Central limit theorem for the excited random walk in dimension .
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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The scaling limit of senile reinforced random walk.
Holmes, Mark P. (2009)
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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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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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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Central limit theorem for sampled sums of dependent random variables
Nadine Guillotin-Plantard, Clémentine Prieur (2010)
ESAIM: Probability and Statistics
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We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to dependent random variables sampled by a -valued transient random walk. This extends the results obtained by [N. Guillotin-Plantard and D. Schneider, (2003) 477–497]. An application to parametric estimation by random sampling is also provided.
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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Excited random walk.
Benjamini, Itai, Wilson, David B. (2003)
Electronic Communications in Probability [electronic only]
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Directed polymer in random environment and last passage percolation
Philippe Carmona (2010)
ESAIM: Probability and Statistics
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The sequence of random probability measures that gives a path of length , times the sum of the random weights collected along the paths, is shown to satisfy a large deviations principle with good rate function the Legendre transform of the free energy of the associated directed polymer in a random environment. Consequences on the asymptotics of the typical number of paths whose collected weight is above a fixed proportion are then drawn.
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...