186 citations · 896 across the 70 of their papers we have counts for
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math.PR2023★ 1 cited
Statistical mechanics of mean-field disordered systems: a Hamilton-Jacobi approach
Tomas Dominguez, Jean-Christophe Mourrat
The goal of this book is to present new mathematical techniques for studying the behaviour of mean-field systems with disordered interactions. We mostly focus on certain problems o…
math.PR2023★ 6 cited
On the free energy of vector spin glasses with non-convex interactions
Hong-Bin Chen, Jean-Christophe Mourrat
The limit free energy of spin-glass models with convex interactions can be represented as a variational problem involving an explicit functional. Models with non-convex interaction…
math.PR2023
Un-inverting the Parisi formula
Jean-Christophe Mourrat
The free energy of any system can be written as the supremum of a functional involving an energy term and an entropy term. Surprisingly, the limit free energy of mean-field spin gl…