Central limit theorem for the overlaps in mean-field spin glasses on the Nishimori line
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.
Authors
- Pierluigi Contucci (ORCID: https://orcid.org/0000-0002-3577-6189)
- Emanuele Mingione (ORCID: https://orcid.org/0000-0003-0237-202X)
- Francesco Camilli (ORCID: https://orcid.org/0000-0001-6530-0707)
Institutions
- The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT)
- University of Bologna (IT)
Publication Details
- Journal
- Electronic Journal of Probability
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1214/25-ejp1301
- Citations
- 1
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.63