arxiv: 1704.06072 · v3 · pith:3WYSWB5Onew · submitted 2017-04-20 · 🧮 math.PR

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

B\'alint T\'oth This is my paper

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keywords randomcentralconditiondoublyenvironmentlimitquenchedstochastic

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

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