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math.PR2025
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…
math.PR2025
Uniqueness of Parisi measures for enriched convex vector spin glass
Hong-Bin Chen, Victor Issa
In the PDE approach to mean-field spin glasses, it has been observed that the free energy of convex spin glass models could be enriched by adding an extra parameter in its definiti…
math.PR2025
Differentiability and overlap concentration in optimal Bayesian inference
Hong-Bin Chen, Victor Issa
In this short note, we consider models of optimal Bayesian inference of finite-rank tensor products. We add to the model a linear channel parametrized by . We show that at every…