BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Quenched CLT for random walk in divergence-free random drift field Toth, Balint


We prove the quenched version of the central limit theorem for the displacement of a random walk in doubly stochastic random environment, under the $H_{-1}$-condition, with slightly stronger, $L^{2+\epsilon}$ (rather than $L^2$) integrability condition on the stream tensor. On the way we extend Nash's moment bound to the non-reversible, divergence-free drift case.

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