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

被引：0

作者：

Arcanjo, Weberson S. ^{[1
]}

Baldasso, Rangel ^{[2
]}

Hilario, Marcelo R. ^{[1
]}

dos Santos, Renato S. ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Math, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG, Brazil

[2] Leiden Univ, Math Inst, POB 9512, NL-2300 RA Leiden, Netherlands

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2025年 / 61卷 / 02期

关键词：

Random walks; Dynamical random environment; Zero-range process; Asymmetric exclusion process; SYMMETRIC EXCLUSION; BEHAVIOR;

D O I：

10.1214/23-AIHP1443

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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

引用

页码：822 / 849

页数：28

共 38 条

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