Quenched CLT for random walk in divergence-free random drift field

Seminar series

Stochastic Analysis Seminar

Date

Mon, 26 Nov 2018

Time

14:15 - 15:15

Location

Speaker

BALINT TOTH

Organisation

Bristol University

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.