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math-ph2023★ 2 cited
Central limit theorem for the overlaps on the Nishimori line
Francesco Camilli, Pierluigi Contucci, Emanuele Mingione
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…
math-ph2023★ 9 cited
Limit theorems for the cubic mean-field Ising model
Pierluigi Contucci, Emanuele Mingione, Godwin Osabutey
We study a mean-field spin model with three- and two-body interactions. The equilibrium measure for large volumes is shown to have three pure states, the phases of the model. They…