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

DOI10.1214/18-AOP1256zbMATH Open1432.60096arXiv1704.06072OpenAlexW2964247548WikidataQ129193442 ScholiaQ129193442MaRDI QIDQ1621449

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Publication date: 8 November 2018

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1704.06072

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