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Asymptotic direction in random walks in random environment revisited
(BRAZILIAN STATISTICAL ASSOCIATION, 2010)
Consider a random walk {X(n) : n >= 0} in an elliptic i.i.d. environment in dimensions d >= 2 and call P(0) its averaged law starting from 0. Given a direction I is an element of S(d-1), A(l) = {lim(n ->infinity) Xn . l = ...
QUENCHED INVARIANCE PRINCIPLE FOR THE KNUDSEN STOCHASTIC BILLIARD IN A RANDOM TUBE
(Inst Mathematical StatisticsClevelandEUA, 2010)
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
(Inst Mathematical StatisticsClevelandEUA, 2012)
Fluctuations of the front in a stochastic combustion model
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2007)
We consider an interacting particle system on the one-dimensional lattice Z modeling combustion. The process depends on two integer parameters 2 <= a <= M <= infinity. Particles move independently as continuous time simple ...
Survival time of random walk in random environment among soft obstacles
(UNIV WASHINGTON, DEPT MATHEMATICS, 2009)
We consider a Random Walk in Random Environment (RWRE) moving in an i.i.d. random field of obstacles. When the particle hits an obstacle, it disappears with a positive probability. We obtain quenched and annealed bounds ...
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(INST MATHEMATICAL STATISTICS, 2012)
In this paper we study a substantial generalization of the model of excited random walk introduced in [Electron. Commun. Probab. 8 (2003) 86-92] by Benjamini and Wilson. We consider a discrete-time stochastic process (X-n, ...
Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
(SpringerNew YorkEUA, 2010)
Localization for a Random Walk in Slowly Decreasing Random Potential
(SpringerNew YorkEUA, 2013)