On properties of the spherical mixed vector p-spin model

Abstract

This paper studies properties of the mixed spherical vector p-spin model. At zero temperature, we establish and investigate a Parisi type formula for the ground state energy. At finite temperature, we provide some properties of minimizers of the Crisanti-Sommers formula recently obtained by Justin Ko. In particular, we extend some of the one-dimensional Parisi measure results of Auffinger-Chen to the vector case.

31 pages

References in corpus (4)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• On the overlap in the multiple spherical SK models
• Disorder chaos in the spherical mean-field model
• The Crisanti-Sommers Formula for Spherical Spin Glasses with Vector Spins

Cited by in corpus (1)

• On ${\ell }_p$-Gaussian-Grothendieck problem