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math.PR2025
The Free Energy of an Enriched Continuous Random Energy Model in the Weak Correlation Regime
Alexander Alban, Fu-Hsuan Ho, Justin Ko
We revisit the proof of the limiting free energy of the continuous random energy model (CREM) using the Hamilton--Jacobi approach for mean-field disordered systems. To achieve this…
math.PR2025
Hessian descent for spherical spin glasses with uniform log-Sobolev disorder
Fu-Hsuan Ho
The present work concerns spherical spin glass models with disorder satisfying a uniform logarithmic Sobolev inequality. We show that the Hessian descent algorithm introduced by Su…