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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Displaying similar documents to “Directed polymer in random environment and last passage percolation*”
On the domination of a random walk on a discrete cylinder by random interlacements.
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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Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk.
Merkl, Franz, Rolles, Silke W.W. (2008)
Electronic Journal of 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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Limiting behavior for the distance of a random walk.
Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Strong limit theorems for a simple random walk on the 2-dimensional comb.
Csáki, Endre, Csörgő, Miklós, Földes, Antónia, Révész, Pál (2009)
Electronic Journal of Probability [electronic only]
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The Beurling estimate for a class of random walks.
Lawler, Gregory F., Limic, Vlada (2004)
Electronic Journal of Probability [electronic only]
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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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A condition for weak disorder for directed polymers in random environment.
Birkner, Matthias (2004)
Electronic Communications in 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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Functional CLT for random walk among bounded random conductances.
Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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Anomalous heat-kernel decay for random walk among bounded random conductances
N. Berger, M. Biskup, C. E. Hoffman, G. Kozma (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the nearest-neighbor simple random walk on ℤ, ≥2, driven by a field of bounded random conductances ∈[0, 1]. The conductance law is i.i.d. subject to the condition that the probability of >0 exceeds the threshold for bond percolation on ℤ. For environments in which the origin is connected to infinity by bonds with positive conductances, we study the decay of the 2-step return probability . We prove that is bounded by a random constant...