Research output: Contribution to journal › Article

**Quenched central limit theorem for random walks in doubly stochastic random environment.** / Toth, Balint.

Research output: Contribution to journal › Article

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.

Toth, B. (2018). Quenched central limit theorem for random walks in doubly stochastic random environment. *Annals of Probability*, *46*(6), 3558-3577.

Toth B. Quenched central limit theorem for random walks in doubly stochastic random environment. Annals of Probability. 2018 Sep 25;46(6):3558-3577.

@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",

}

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 -