On the local central limit theorem for interacting spin systems
Mathematical Physics
2023-08-14 v1 math.MP
Abstract
We prove the equivalence between integral and local central limit theorem for spin system interacting via an absolutely summable pair potential without any conditions on the temperature of the system.
Cite
@article{arxiv.2308.06178,
title = {On the local central limit theorem for interacting spin systems},
author = {Aldo Procacci and Benedetto Scoppola},
journal= {arXiv preprint arXiv:2308.06178},
year = {2023}
}