paper

A quantitative central limit theorem for the simple symmetric exclusion process

arXiv:2408.01238

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.

67 pages

A quantitative central limit theorem for the simple symmetric exclusion process · wovepaper