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.
Camilli, F., Contucci, P., Mingione, E. (2025). Central limit theorem for the overlaps in mean-field spin glasses on the Nishimori line. ELECTRONIC JOURNAL OF PROBABILITY, 30, 1-28 [10.1214/25-ejp1301].
Central limit theorem for the overlaps in mean-field spin glasses on the Nishimori line
Camilli, Francesco;Contucci, Pierluigi;Mingione, Emanuele
2025
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.File in questo prodotto:
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