Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling

Autor:	Arcanjo, Weberson S., Baldasso, Rangel, Hilário, Marcelo R., Santos, Renato S. dos
Rok vydání:	2022
Předmět:	Mathematics - Probability 60K35 82B43
Druh dokumentu:	Working Paper
Popis:	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. Comment: 33 pages. Accepted for publication in Annales de l'Institut Henri Poincar\'e, Probabilit\'es et Statistiques
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.00282 Zobrazit plný text záznamu View this record from Arxiv