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.

arXiv comment31 pages

References in corpus (9)

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Cited by in corpus (1)

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