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math.PR2026
Fluctuations in the Potts spin glass model at high temperature
Partha S. Dey, Taegu Kang
We study the fluctuations of the free energy of the Potts spin glass with colors at high temperature. The disorder is symmetric with unit variance and finite fourth moment. For…
math.PR2026
Fluctuations of the free energy of the Sherrington-Kirkpatrick model with ferromagnetic interaction
Partha S. Dey, Taegu Kang
We study the Sherrington-Kirkpatrick model with an additional Curie-Weiss ferromagnetic interaction (SKFI), whose phase diagram in the plane of the disorder strength and the fe…
math.PR2026
Fluctuations for the Sherrington--Kirkpatrick spin glass model near the critical temperature
Partha S. Dey, Taegu Kang
We consider the Sherrington--Kirkpatrick spin glass model with zero external field and at inverse temperature . Let be the corresponding log-partition function. Under…