Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment

Bálint Tóth

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arXiv · 1704.06072

Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment

Bálint Tóth

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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.

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Bálint Tóth. 2017-04-20. Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment. https://arxiv.org/abs/1704.06072

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