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

Research output: Contribution to journalArticle

Original language English 3558-3577 22 Annals of Probability 46 6 25 Sep 2018 Submitted - 25 Dec 2017 Accepted/In press - 13 Jan 2018 E-pub ahead of print (current) - 25 Sep 2018

### 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.

### Research areas

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

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### Documents

• Full-text PDF (accepted author manuscript)

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