A quantitative central limit theorem for the simple symmetric exclusion process
- Authors: Benjamin Gess, Vitalii Konarovskyi
- Preprint year: 2024
- First public date: 2024-08-02
- arXiv: 2408.01238
Abstract
A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is based on a comparison of the generators of the density fluctuation field of the SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal.
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BibTeX
@article{arxiv240801238,
title = {A quantitative central limit theorem for the simple symmetric exclusion process},
author = {Benjamin Gess and Vitalii Konarovskyi},
year = {2024},
eprint = {2408.01238},
archivePrefix = {arXiv},
primaryClass = {math.PR}
}