6 citations · 6 across the 6 of their papers we have counts for
10 papers
A formula for the free energy of non-convex vector spin glasses
Hong-Bin Chen, Fu-Hsuan Ho, Victor Issa
We consider vector mean-field spin glass models with independent and identically distributed spins without assuming the covariance function is convex. We identify the limit free en…
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…
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…
Vector spin glasses with Mattis interaction II: non-convex high-temperature models
Hong-Bin Chen, Victor Issa
This paper constitutes the second part of a two-paper series devoted to the systematic study of vector spin glass models whose energy function involves a spin glass part and a gene…
Vector spin glasses with Mattis interaction I: the convex case
Hong-Bin Chen, Victor Issa
This paper constitutes the first part of a two-paper series devoted to the systematic study of vector spin glass models whose energy function involves a spin glass part and a gener…
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…
The convex structure of the Parisi formula for multi-species spin glasses
Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat
We study the free energy of mean-field multi-species spin glasses with convex covariance function. For such models with species, the Parisi formula is known to be valid, and ex…
On free energy of non-convex multi-species spin glasses
Hong-Bin Chen
In [arXiv:2311.08980], it was shown that if the limit of the free energy in a non-convex vector spin glass model exists, it must be a critical value of a certain functional. In thi…
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…
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…