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 nonreversible, divergencefree drift case.
Original language  English 

Pages (fromto)  35583577 
Number of pages  20 
Journal  Annals of Probability 
Volume  46 
Issue number  6 
Early online date  25 Sep 2018 
DOIs  
Publication status  Epub ahead of print  25 Sep 2018 
Keywords
 random walk in random environment
 quenched central limit theorem
 Nash bounds
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Profiles

Professor Balint A Toth
 Probability, Analysis and Dynamics
 School of Mathematics  Chair in Probability
 Probability
Person: Academic , Member, Group lead