On properties of the spherical mixed vector p-spin model

Antonio Auffinger and Yuxin Zhou

Stochastic Processes and their Applications, 2022, vol. 146, issue C, 382-413

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 in Ko (2018). In particular, we extend some of the one-dimensional Parisi measure results of Auffinger and Chen (2015) to the vector case.

Keywords: Spherical vector p-spin; Crisanti–Sommers; Ground state energy; Parisi’s formula; Spin glass (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:146:y:2022:i:c:p:382-413

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DOI: 10.1016/j.spa.2022.02.001

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