186 citations · 896 across the 70 of their papers we have counts for
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Free energy of non-convex multi-species Ising spin glasses with external fields
Jeanne Boursier, Jean-Christophe Mourrat
We identify the limit free energy of mean-field multi-species spin glasses with +/-1 spins, allowing for the presence of external fields, and without assuming any convexity propert…
Free energy of non-convex multi-species spherical spin glasses
Hong-Bin Chen, Jean-Christophe Mourrat
We identify the limit free energy of all mean-field multi-species spin glasses defined on products of spheres. In particular, we do not make any convexity assumption on the covaria…
Efficient computation of the asymptotics of extensive-rank HCIZ integrals
Antoine Maillard, Jean-Christophe Mourrat
We study the high-dimensional asymptotics of Harish-Chandra-Itzykson-Zuber (HCIZ) integrals in the extensive-rank regime. The limit of these integrals is governed by a one-dimensio…
Free energy of non-convex multi-species spin glasses with centered Ising spins
Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat
We identify the limit free energy of all multi-species spin glasses with centered spins. The result was previously known only under a convexity assumption on the covariance…
One-sided large deviations for the ground-state energy of spin glasses
Hong-Bin Chen, Alice Guionnet, Justin Ko +2
We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…
On the local nature of the de Almeida-Thouless line for mixed \(p\)-spin glasses
Jean-Christophe Mourrat, Adrien Schertzer
Jagannath and Tobasco~\cite{JagTob} proposed a generalized de Almeida-Thouless (AT) criterion aimed at characterizing the replica symmetric (RS) regime for a broad class of mixed \…