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CENTRAL LIMIT THEOREM FOR RANDOM WALKS IN DIVERGENCE FREE RANDOM DRIFT FIELD – REVISITED

CENTRAL LIMIT THEOREM FOR RANDOM WALKS IN DIVERGENCE FREE RANDOM DRIFT FIELD – REVISITED

In Kozma–Toth (2017), the weak CLT was established for random walks in doubly stochastic (or, divergence-free) random environments, under the following conditions: Strict ellipticity assumed for the symmetric part of the drift field. H−1 assumed for the antisymmetric part of the drift field. The proof relied on a martingale approximation …