On properties of the spherical mixed vector p-spin model
Probability
2020-07-14 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2007.06019,
title = {On properties of the spherical mixed vector p-spin model},
author = {Antonio Auffinger and Yuxin Zhou},
journal= {arXiv preprint arXiv:2007.06019},
year = {2020}
}
Comments
31 pages