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arXiv · 2510.01054

Spin glasses and the Parisi formula

Jean-Christophe Mourrat
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Abstract

Spin glasses are models of statistical mechanics in which a large number of simple elements interact with one another in a disordered fashion. One of the fundamental results of the theory is the Parisi formula, which identifies the limit of the free energy of a large class of such models. Yet many interesting models remain out of reach of the classical theory, and direct generalizations of the Parisi formula yield invalid predictions. I will report here on some partial progress towards the resolution of this problem, which also brings a new perspective on classical results.

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Jean-Christophe Mourrat. 2025-10-01. Spin glasses and the Parisi formula. https://arxiv.org/abs/2510.01054

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