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math.PR2024
A Hopf-like formula for mean-field spin glass models
Victor Issa
We study mean-field spin glass models with general vector spins and convex covariance function. For those models, it is known that the limit of the free energy can be written as th…
math.PR2024
Existence and Uniqueness of Permutation-Invariant Optimizers for Parisi Formula
Victor Issa
It has recently been shown in [arXiv:2310.06745] that, upon constraining the system to stay in a balanced state, the Parisi formula for the mean-field Potts model can be written as…