Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$

Fuente: arXiv
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Hauptverfasser: Xu, Tiecheng, Zhao, Linjie
Format: Preprint
Veröffentlicht: 2025
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author Xu, Tiecheng
Zhao, Linjie
author_facet Xu, Tiecheng
Zhao, Linjie
contents We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium measures. Our proof combines the martingale method and correlation estimates for the exclusion process.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09424
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$
Xu, Tiecheng
Zhao, Linjie
Probability
We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium measures. Our proof combines the martingale method and correlation estimates for the exclusion process.
title Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$
topic Probability
url https://arxiv.org/abs/2512.09424