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

Autor:	Chen, Wenxuan, Zhao, Linjie
Rok vydání:	2024
Předmět:	Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.07124 Zobrazit plný text záznamu View this record from Arxiv