{
  "id": "1002.2190",
  "version": "v1",
  "published": "2010-02-10T19:45:52.000Z",
  "updated": "2010-02-10T19:45:52.000Z",
  "title": "The Ghirlanda-Guerra identities for mixed p-spin model",
  "authors": [
    "Dmitry Panchenko"
  ],
  "journal": "C.R.Acad.Sci.Paris, Ser. I 348 (2010) 189-192.",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that, under the conditions known to imply the validity of the Parisi formula, if the generic Sherrington-Kirkpatrick Hamiltonian contains a $p$-spin term then the Ghirlanda-Guerra identities for the $p$th power of the overlap hold in a strong sense without averaging. This implies strong version of the extended Ghirlanda-Guerra identities for mixed $p$-spin models than contain terms for all even $p\\geq 2$ and $p=1.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-10T19:45:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B44"
    ],
    "keywords": [
      "mixed p-spin model",
      "generic sherrington-kirkpatrick hamiltonian contains",
      "implies strong version",
      "contain terms",
      "spin models"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2190P"
    }
  }
}