{
  "id": "1204.5115",
  "version": "v1",
  "published": "2012-04-23T17:13:31.000Z",
  "updated": "2012-04-23T17:13:31.000Z",
  "title": "The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models",
  "authors": [
    "Wei-Kuo Chen"
  ],
  "comment": "16 pages. arXiv admin note: text overlap with arXiv:1112.4409",
  "categories": [
    "math.PR"
  ],
  "abstract": "The Parisi formula for the free energy in the spherical models with mixed even p-spin interactions was proven in Michel Talagrand [16]. In this paper we study the general mixed p-spin spherical models including p-spin interactions for odd p. We establish the Aizenman-Sims-Starr scheme and from this together with many well-known results and Dmitry Panchenko's recent proof on the Parisi ultrametricity conjecture [11], we prove the Parisi formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-23T17:13:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B44"
    ],
    "keywords": [
      "parisi formula",
      "aizenman-sims-starr scheme",
      "p-spin interactions",
      "general mixed p-spin spherical models",
      "parisi ultrametricity conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5115C"
    }
  }
}