QUENCHED CENTRAL LIMIT THEOREM FOR RANDOM WALKS IN DOUBLY STOCHASTIC RANDOM ENVIRONMENT

• 成果类型: Article
• 署名作者: Toth, Balint
• 署名单位: University of Bristol; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Hungarian Academy of Sciences
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1256
• 发表日期: 2018
• 页码: 3558-3577
• 关键词: invariance-principle; percolation; discrete

摘要

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, L2+epsilon (rather than L-2) integrability condition on the stream tensor. On the way we extend Nash's moment bound to the nonreversible, divergence-free drift case, with unbounded (L2+epsilon) stream tensor. This paper is a sequel of [Ann. Probab. 45 (2017) 4307-4347] and relies on technical results quoted from there.