{
  "id": "1108.0379",
  "version": "v2",
  "published": "2011-08-01T18:17:03.000Z",
  "updated": "2011-11-29T20:05:20.000Z",
  "title": "A new representation of the Ghirlanda-Guerra identities with applications",
  "authors": [
    "Dmitry Panchenko"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we obtain a new family of identities for random measures on the unit ball of a separable Hilbert space which arise as the asymptotic analogues of the Gibbs measures in the Sherrington-Kirkpatrick and $p$-spin models and which are known to satisfy the Ghirlanda-Guerra identities. We give several applications of the new identities to structural results for such measures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-29T20:05:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B44"
    ],
    "keywords": [
      "ghirlanda-guerra identities",
      "applications",
      "representation",
      "spin models",
      "random measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0379P"
    }
  }
}