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 -