{
  "abstract": "We consider vector mean-field spin glass models with independent and identically distributed spins without assuming the covariance function is convex. We identify the limit free energy as the minimum of a functional that can be written as the sum of a relative entropy and the solution of a Hamilton--Jacobi equation. The proof of this result relies on the observation that when the spin configurations of the system are constrained to have a given empirical measure, the corresponding free energy approximately satisfies a Hamilton--Jacobi equation with a uniformly bounded error.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18744",
  "author_total": 3,
  "authors": [
    {
      "name": "Hong-Bin Chen"
    },
    {
      "name": "Fu-Hsuan Ho"
    },
    {
      "name": "Victor Issa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d27t5ka8mg859.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18744",
  "fulltext_url": null,
  "id": "d27t5ka8mg859",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18744",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7221793384",
  "pdf_url": "https://arxiv.org/pdf/2610.18744",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d27t5ka8mg859.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18744",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18744"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "A formula for the free energy of non-convex vector spin glasses",
  "title_text": "A formula for the free energy of non-convex vector spin glasses",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/d27t5ka8mg859",
  "venue": "arXiv",
  "versions": []
}