5 papers
The Ding--Song--Sun inequality via a maximum principle
Fu-Hsuan Ho
We prove the Ding--Song--Sun inequality for continuous spin models on finite ferromagnetic graphs whose even single-site potentials have convex derivatives on the positive half of…
A Concavity Theorem for the Parisi PDE
Fu-Hsuan Ho
We prove that the map sending the diffusion profile to the solution of a time-changed Parisi PDE evaluated at time-space is concave. This result strengthens the raywise con…
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…
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…
Negative moments of the CREM partition function in the high temperature regime
Fu-Hsuan Ho
The continuous random energy model (CREM) was introduced by Bovier and Kurkova in 2004 which can be viewed as a generalization of Derrida's generalized random energy model. Among o…