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

Research output: Contribution to journalArticle

### Standard

In: Annals of Probability, Vol. 46, No. 6, 25.09.2018, p. 3558-3577.

Research output: Contribution to journalArticle

### Harvard

Toth, B 2018, 'Quenched central limit theorem for random walks in doubly stochastic random environment', Annals of Probability, vol. 46, no. 6, pp. 3558-3577.

### Author

Toth, Balint. / Quenched central limit theorem for random walks in doubly stochastic random environment. In: Annals of Probability. 2018 ; Vol. 46, No. 6. pp. 3558-3577.

### Bibtex

@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",

}

### RIS - suitable for import to EndNote

TY - JOUR

T1 - Quenched central limit theorem for random walks in doubly stochastic random environment

AU - Toth, Balint

PY - 2018/9/25

Y1 - 2018/9/25

N2 - 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.

AB - 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.

KW - random walk in random environment

KW - quenched central limit theorem

KW - Nash bounds

UR - https://arxiv.org/abs/1704.06072

UR - https://www.e-publications.org/ims/submission/AOP/user/submissionFile/33425?confirm=54c58571

M3 - Article

VL - 46

SP - 3558

EP - 3577

JO - Annals of Probability

JF - Annals of Probability

SN - 0091-1798

IS - 6

ER -