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

Weberson S. Arcanjo; Rangel Baldasso; Marcelo R. Hilário; Renato S. dos Santos

doi:10.1214/23-aihp1443

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

Weberson S. Arcanjo, Rangel Baldasso, Marcelo R. Hilário, Renato S. dos Santos

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	822-849
Number of pages	28
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	61
Issue number	2
DOIs	https://doi.org/10.1214/23-aihp1443
State	Published - May 2025
Externally published	Yes

Bibliographical note

Publisher Copyright:
© Association des Publications de l’Institut Henri Poincaré, 2025.

Keywords

Asymmetric exclusion process
Dynamical random environment
Random walks
Zero-range process

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10.1214/23-aihp1443

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

Abstract

Bibliographical note

Keywords

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