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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…
math.PR2018
Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperature
Antonio Auffinger, Qiang Zeng
We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain c…