Stationary fluctuations for the WASEP with long jumps and infinitely extended reservoirs

Wenxuan Chen and Linjie Zhao

Stochastic Processes and their Applications, 2026, vol. 192, issue C

Abstract: We study a weakly asymmetric exclusion process with long jumps and with infinitely many extended reservoirs. We prove that the stationary fluctuations of the process are governed by the generalized Ornstein–Uhlenbeck process or the stochastic Burgers equation with Dirichlet boundary conditions depending on the strength of the asymmetry of the dynamics.

Keywords: Exclusion process; Long jumps; Stationary fluctuations; Stochastic Burgers equation (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1016/j.spa.2025.104827

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