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