186 citations · 896 across the 70 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Breakdown of a concavity property of mutual information for non-Gaussian channels
Anastasia Kireeva, Jean-Christophe Mourrat
Let and be two independent and identically distributed random variables, which we interpret as the signal, and let and be two communication channels. We…