Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling
Probability
2023-11-22 v2
Abstract
We establish a strong law of large numbers for one-dimensional continuous-time random walks in dynamic random environments under two main assumptions: the environment is required to satisfy a decoupling inequality that can be interpreted as a bound on the speed of dependence propagation, while the random walk is assumed to move ballistically with a speed larger than this bound. Applications include environments with strong space-time correlations such as the zero-range process and the asymmetric exclusion process.
Keywords
Cite
@article{arxiv.2205.00282,
title = {Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling},
author = {Weberson S. Arcanjo and Rangel Baldasso and Marcelo R. Hilário and Renato S. dos Santos},
journal= {arXiv preprint arXiv:2205.00282},
year = {2023}
}
Comments
33 pages. Accepted for publication in Annales de l'Institut Henri Poincar\'e, Probabilit\'es et Statistiques