186 citations · 896 across the 70 of their papers we have counts for
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Simultaneous replica-symmetry breaking for vector spin glasses
Hong-Bin Chen, Jean-Christophe Mourrat
We consider mean-field vector spin glasses with possibly non-convex interactions. Up to a small perturbation of the parameters defining the model, the asymptotic behavior of the Gi…
An informal introduction to the Parisi formula
Jean-Christophe Mourrat
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 p…
Color symmetry breaking in the Potts spin glass
Jean-Christophe Mourrat
The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin can take one of possible values, which we interpret as colors. It was suggested in a…
Critical point representation of the mutual information in the sparse stochastic block model
Tomas Dominguez, Jean-Christophe Mourrat
We consider the problem of recovering the community structure in the stochastic block model. We aim to describe the mutual information between the observed network and the actual c…
Quantitative equilibrium fluctuations for interacting particle systems
Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner
We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. Fo…