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

Marco Lenci

doi:10.1063/1.3005226

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arXiv · 0810.2324

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

Marco Lenci

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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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Marco Lenci. 2008-10-13. Central Limit Theorem and recurrence for random walks in bistochastic random environments. https://doi.org/10.1063/1.3005226

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