{
  "id": "0911.4520",
  "version": "v1",
  "published": "2009-11-23T23:39:01.000Z",
  "updated": "2009-11-23T23:39:01.000Z",
  "title": "The Ghirlanda-Guerra identities without averaging",
  "authors": [
    "Sourav Chatterjee"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Ghirlanda-Guerra identities are one of the most mysterious features of spin glasses. We prove the GG identities in a large class of models that includes the Edwards-Anderson model, the random field Ising model, and the Sherrington-Kirkpatrick model in the presence of a random external field. Previously, the GG identities were rigorously proved only `on average' over a range of temperatures or under small perturbations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-23T23:39:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B44"
    ],
    "keywords": [
      "ghirlanda-guerra identities",
      "gg identities",
      "random external field",
      "random field ising model",
      "spin glasses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4520C"
    }
  }
}