Work

Central limit theorem for the overlaps in mean-field spin glasses on the Nishimori line

Year: 2025

Type: article

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.

Source: Electronic Journal of Probability

DOI: 10.1214/25-ejp1301

Authors: Francesco Camilli, Pierluigi Contucci, Emanuele Mingione

Institutions: The Abdus Salam International Centre for Theoretical Physics (ICTP), University of Bologna

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

OpenAlex ID: W4408809562

FWCI: 0.83

Cites: 63

Cited by: 1

Related to: 10