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

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

2008-10-13

arxiv.org/abs/0810.2324v1

J. Math. Phys. 49 (2008), no. 12, 125213, 9 pp.

Mathematics

Probability

13 pages; to appear in the special issue of J. Math. Phys. on "Statistical Mechanics on Random Structures"

Scientific paper

10.1063/1.3005226

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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