{
  "abstract": "This note supplies the details of the cavity lower bound used in \"The Mézard-Parisi formula\" [8]. Specifically, we show that small perturbations that do not change the limiting free energy can be chosen so that the asymptotic Gibbs measures arising in the Aizenman-Sims-Starr lower bound satisfy both the Ghirlanda-Guerra identities and the cavity equations. These calculations are standard and require only minor modifications of arguments already available in the literature. We record them here for completeness, avoiding a lengthy repetition of these arguments in [8].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39542",
  "author_total": 1,
  "authors": [
    {
      "name": "Dmitry Panchenko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ja83j7me8x3z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39542",
  "fulltext_url": null,
  "id": "2ja83j7me8x3z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39542",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39542",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ja83j7me8x3z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39542",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39542"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Ghirlanda-Guerra identities and cavity equations for diluted spin glass models",
  "title_text": "Ghirlanda-Guerra identities and cavity equations for diluted spin glass models",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/2ja83j7me8x3z",
  "venue": "arXiv",
  "versions": []
}