# Fluctuations of the free energy of the mixed $p$-spin mean field spin glass model

@inproceedings{Banerjee2021FluctuationsOT, title={Fluctuations of the free energy of the mixed \$p\$-spin mean field spin glass model}, author={Debapratim Banerjee and David Belius}, year={2021} }

The Sherrington-Kirkpatrick [SK75] model and its variants [Der80; GM84; Tal00] are important models of disordered magnetic systems and paradigmatic examples in the theory of complex systems [MPV87; Tal10; Tal11; Pan13b]. An important step in the solution of the model is the computation of the free energy. The Parisi formula [Par80; Par79; Gue03; Tal06; Pan13a] gives the typical value of the free energy in the form of a law of large numbers. This article studies the fluctuations of free energy…

## 2 Citations

Fluctuations of the free energy in p-spin SK models on two scales

- Mathematics
- 2022

A BSTRACT . 20 years ago, Bovier, Kurkova, and L¨owe [5] proved a central limit theorem (CLT) for the ﬂuctuations of the free energy in the p -spin version of the Sherrington-Kirkpatrick model of…

Mean Field Spin Glass Models under Weak External Field

- Physics
- 2021

. We study the ﬂuctuation and limiting distribution of free energy in mean-ﬁeld Ising spin glass models under weak external ﬁelds. We prove that at high temperature, there are three sub-regimes…

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