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arxiv: 2111.08804 · v3 · pith:SZMWGJG6new · submitted 2021-11-16 · 🧮 math.PR

Additive functionals of exclusion processes from non-equilibrium

Luiz Renato Fontes , Tiecheng Xu This is my paper
classification 🧮 math.PR
keywords additiveexclusionfunctionalsnon-equilibriumprocessesarxivasymmetricclass
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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 its scaling limit is a Gaussian process. The proof is mainly based on the results obtained and techniques developed by Jara and Menezes [Non-equiliburim fluctuations of interacting particle systems, arXiv:1810.09526].

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