Simulations and conjectures for disconnection exponents.
Puckette, Emily E., Werner, Wendelin (1996)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “Windings of planar random walks and averaged Dehn function”
Simulations and conjectures for disconnection exponents.
A local limit theorem for directed polymers in random media : the continuous and the discrete case
Vincent Vargas (2006)
Annales de l'I.H.P. Probabilités et statistiques
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A note on quenched moderate deviations for Sinai’s random walk in random environment
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 .
The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
N. Enriquez, C. Lucas, F. Simenhaus (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
Large deviations for transient random walks in random environment on a Galton–Watson tree
Elie Aidékon (2010)
Annales de l'I.H.P. Probabilités et statistiques
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Consider a random walk in random environment on a supercritical Galton–Watson tree, and let be the hitting time of generation . The paper presents a large deviation principle for /, both in quenched and annealed cases. Then we investigate the subexponential situation, revealing a polynomial regime similar to the one encountered in one dimension. The paper heavily relies on estimates on the tail distribution of the first regeneration time.
Perturbed random walks and Brownian motions, and local times.
Davis, Burgess (1998)
The New York Journal of Mathematics [electronic only]
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A functional approach for random walks in random sceneries.
Dombry, Clement, Guillotin-Plantard, Nadine (2009)
Electronic Journal of 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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