@article{92ef8dd7c8db4b368511351c2e9011b4, title = "Quenched central limit theorem for random walks in doubly stochastic random environment", 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.", keywords = "random walk in random environment, quenched central limit theorem, Nash bounds", author = "Balint Toth", year = "2018", month = "9", day = "25", language = "English", volume = "46", pages = "3558--3577", journal = "Annals of Probability", issn = "0091-1798", publisher = "Institute of Mathematical Studies", number = "6", }