2 papers
math-ph2024
Hessian spectrum at the global minimum of the spherical pure-like mixed p-spin glasses
Hao Xu, Haoran Yang
We study the large -dimensional limit of the Hessian spectrum at the global minimum of some subclasses of the spherical mixed -spin models. Specifically, we show that its emp…
math.PR2023
On the expected number of critical points of locally isotropic Gaussian random fields
Hao Xu, Haoran Yang, Qiang Zeng
We consider locally isotropic Gaussian random fields on the -dimensional Euclidean space for fixed . Using the so called Gaussian Orthogonally Invariant matrices first studie…