The Spherical Mixed $p$-Spin Glass At Zero Temperature

Yuxin Zhou

The Spherical Mixed $p$-Spin Glass At Zero Temperature

Probability 2023-03-10 v1 Mathematical Physics math.MP

Authors: Yuxin Zhou

Abstract

We consider the spherical mixed $p$ -spin models and investigate the structure of the Parisi measure at zero temperature. We prove that for the spherical spin models with $n$ components, the Parisi measure at zero temperature is at most $n$ -RSB or $n$ -FRSB. We also provide a necessary and sufficient computational criterion for the spherical mixed $p$ -spin model to be $k$ -RSB or $k$ -FRSB, $k \leq n.$

Keywords

spin glasses

Cite

@article{arxiv.2303.04943,
  title  = {The Spherical Mixed $p$-Spin Glass At Zero Temperature},
  author = {Yuxin Zhou},
  journal= {arXiv preprint arXiv:2303.04943},
  year   = {2023}
}

Comments

26 pages, 5 figures

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