Central limit theorem for the overlaps on the Nishimori line

Autor:	Camilli, Francesco, Contucci, Pierluigi, Mingione, Emanuele
Rok vydání:	2023
Předmět:	Mathematical Physics Computer Science - Information Theory Mathematics - Probability 82-XX 82D30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages, 0 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.19943 Zobrazit plný text záznamu View this record from Arxiv