An informal introduction to the Parisi formula
Probability
2025-04-07 v2 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
This note is an informal presentation of spin glasses and of the Parisi formula. We also discuss some models for which the Parisi formula is not well-understood, and some partial progress that relies upon a connection with partial differential equations.
Keywords
Cite
@article{arxiv.2410.12364,
title = {An informal introduction to the Parisi formula},
author = {Jean-Christophe Mourrat},
journal= {arXiv preprint arXiv:2410.12364},
year = {2025}
}
Comments
This is an expanded version in English of an introductory article written in French for "La gazette de la soci\'et\'e math\'ematique de France". 20 pages