Tóth, Bálint (2018) Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment. ANNALS OF PROBABILITY, 46 (6). pp. 3558-3577. ISSN 0091-1798
|
Text
1704.06072.pdf Download (285kB) | Preview |
Official URL: https://doi.org/10.1214/18-AOP1256
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, 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BOUNDS; DISCRETE; PERCOLATION CLUSTERS; Random walk in random environment; quenched central limit theorem; INVARIANCE-PRINCIPLE; RANDOM CONDUCTANCES; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 15 Jan 2019 08:48 |
| Last Modified: | 15 Jan 2019 08:48 |
| URI: | http://real.mtak.hu/id/eprint/89945 |
Actions (login required)
 |
Edit Item |
