Central limit theorem for the overlaps on the Nishimori line
Mathematical Physics
2023-06-27 v2 Information Theory
math.IT
math.MP
Probability
Abstract
The overlap distribution of the Sherrington-Kirkpatrick model on the Nishimori line has been proved to be self averaging for large volumes. Here we study the joint distribution of the rescaled overlaps around their common mean and prove that it converges to a Gaussian vector.
Keywords
Cite
@article{arxiv.2305.19943,
title = {Central limit theorem for the overlaps on the Nishimori line},
author = {Francesco Camilli and Pierluigi Contucci and Emanuele Mingione},
journal= {arXiv preprint arXiv:2305.19943},
year = {2023}
}
Comments
30 pages, 0 figures