7 papers
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…
Convergence of the free energy of vector spin glasses with non-convex interactions
Fu-Hsuan Ho
We prove that the enriched free energy of vector spin glasses converges as the number of sites tends to infinity. The interaction is not assumed to be convex. This is the convergen…
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…