Moderate deviation principles for the WASEP

2024/05/25 by Linjie Zhao, Zhao, Linjie · 1 citation
Social Sciences · #FOS: Mathematics #International Development and Aid #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2405.16151

openalex publication_date 2024/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate deviation principles for the fluctuation fields when the process starts from stationary measures. As an application, we obtain sample path moderate deviation principles for the occupation time of the process in one dimension.

Cited by

• Moderate deviation principles for the current and the tagged particle in the WASEP
• Moderate deviations for the facilitated exclusion process in equilibrium

Related

• Moderate deviation principles for the current and the tagged particle in the WASEP
• Moderate deviations for the facilitated exclusion process in equilibrium
• Large deviation principle for the stationary measures of open asymmetric simple exclusion processes
• Integrability and exact large deviations of the weakly-asymmetric exclusion process
• Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process