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 $d le 2$.
M. Lenci (2008). Central Limit Theorem and recurrence for random walks in bistochastic random environments. JOURNAL OF MATHEMATICAL PHYSICS, 49, 125213-1-125213-9 [10.1063/1.3005226].
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 $d le 2$.File in questo prodotto:
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