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math.PR2010★ 9 cited
Quenched limits for the fluctuations of transient random walks in random environment on Z
Nathanaël Enriquez, Christophe Sabot, Laurent Tournier +1
We consider transient nearest-neighbor random walks in random environment on Z. For a set of environments whose probability is converging to 1 as time goes to infinity, we describe…
math.PR2010
Stable fluctuations for ballistic random walks in random environment on Z
Nathanaël Enriquez, Christophe Sabot, Laurent Tournier +1
We consider transient random walks in random environment on Z in the positive speed (ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer pr…