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arxiv: 0810.2324 · v1 · submitted 2008-10-13 · 🧮 math.PR · math.DS

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

classification 🧮 math.PR math.DS
keywords randombistochasticcentralenvironmentslimitrecurrencetheoremwalks
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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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