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math.PR2021
Additive functionals of exclusion processes from non-equilibrium
Luiz Renato Fontes, Tiecheng Xu
Consider the weakly asymmetric simple exclusion processes on the one-dimensional torus. We study the non-equilibrium fluctuation of a class of additive functionals, and show that i…
math.PR2021★ 3 cited
Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes
Tiecheng Xu
We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension at least two. The hydrodynamic limit equation is shown to be a heat equation with three diff…