arXiv:2408.01238 Abstract | arXiv Analytics

arXiv:2408.01238 [math.PR]Abstract References Reviews Resources

A quantitative central limit theorem for the simple symmetric exclusion process

Published 2024-08-02Version 1

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.

Comments: 67 pages

Categories: math.PR

Subjects: 60K35, 60F05, 60J25, 60H15

Keywords: simple symmetric exclusion process, quantitative central limit theorem, initial particle fluctuations, infinite-dimensional berry-essen bound, dimensional discrete torus

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