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20232026
most citedOn the free energy of vector spin glasses with non-convex interactions

6 citations · 6 across the 6 of their papers we have counts for

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math.PR2026

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…

math.PR2026

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…

math.PR2026

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…

math.PR2026

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…

math.PR2026

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…

math.PR2026

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…