Central limit theorem and recurrence for random walks in bistochastic random environments

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 deri...

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Veröffentlicht in:Journal of mathematical physics 2008-12, Vol.49 (12), p.125213-125213-9
1. Verfasser: Lenci, Marco
Format: Artikel
Sprache:eng
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Zusammenfassung: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 ≤ 2 .
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3005226