# Quenched central limit theorem for random walks in doubly stochastic random environment

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

## Abstract

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, $L^{2+\varepsilon}$ (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.
Original language English 3558-3577 20 Annals of Probability 46 6 25 Sep 2018 https://doi.org/10.1214/18-AOP1256 E-pub ahead of print - 25 Sep 2018

## Keywords

• random walk in random environment
• quenched central limit theorem
• Nash bounds

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