{
  "id": "0810.3279",
  "version": "v2",
  "published": "2008-10-18T00:23:38.000Z",
  "updated": "2009-06-07T16:54:41.000Z",
  "title": "Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model",
  "authors": [
    "Sourav Chatterjee",
    "Nick Crawford"
  ],
  "comment": "30 pages Mild Update:typos, referee comments regarding terminology",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we consider central limit theorems for various macroscopic observables in the high temperature region of the Sherrington-Kirkpatrick spin glass model. With a particular focus on obtaining a quenched central limit theorem for the energy density of the system with non-zero external field, we show how to combine the mean field cavity method with Stein's method in the quenched regime. The result for the energy density extends the corresponding result of Comets-Neveu.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-07T16:54:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05"
    ],
    "keywords": [
      "sherrington-kirkpatrick model",
      "mean field cavity method",
      "sherrington-kirkpatrick spin glass model",
      "energy density extends",
      "high temperature region"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-009-9865-3",
      "journal": "Journal of Statistical Physics",
      "year": 2009,
      "month": "Nov",
      "volume": 137,
      "number": 4,
      "pages": 639
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JSP...137..639C"
    }
  }
}