Additive functionals of exclusion processes from non-equilibrium
Probability
2023-06-05 v3
Abstract
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].
Cite
@article{arxiv.2111.08804,
title = {Additive functionals of exclusion processes from non-equilibrium},
author = {Luiz Renato Fontes and Tiecheng Xu},
journal= {arXiv preprint arXiv:2111.08804},
year = {2023}
}
Comments
The main result of this paper is extended from occupation time to additive functionals. The title is changed. More details are added