A quantitative central limit theorem for the simple symmetric exclusion process
Probability
2024-08-05 v1
Abstract
A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a -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.
Cite
@article{arxiv.2408.01238,
title = {A quantitative central limit theorem for the simple symmetric exclusion process},
author = {Benjamin Gess and Vitalii Konarovskyi},
journal= {arXiv preprint arXiv:2408.01238},
year = {2024}
}
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67 pages