We prove the annealed Central Limit Theorem for random walks in bistochastic random environments on $Z^d$ with zero local drift. The proof is based on a "dynamicist's interpretation" of the system, and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for $d le 2$.

Central Limit Theorem and recurrence for random walks in bistochastic random environments

LENCI, MARCO
2008

Abstract

We prove the annealed Central Limit Theorem for random walks in bistochastic random environments on $Z^d$ with zero local drift. The proof is based on a "dynamicist's interpretation" of the system, and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for $d le 2$.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/63883
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