{
  "id": "math/0405358",
  "version": "v1",
  "published": "2004-05-18T21:54:57.000Z",
  "updated": "2004-05-18T21:54:57.000Z",
  "title": "A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model",
  "authors": [
    "Dmitry Panchenko"
  ],
  "comment": "25 pages",
  "journal": "2005 Elect. J. of Probab. 10",
  "categories": [
    "math.PR",
    "cond-mat.dis-nn"
  ],
  "abstract": "In this paper we prove that in the high temperature region of the Sherrington-Kirkpatrick model for a typical realization of the disorder the weighted average of spins $\\sum_{i\\leq N} t_i \\sigma_i$ will be approximately Gaussian provided that $\\max_{i\\leq N}|t_i|/\\sum_{i\\leq N} t_i^2$ is small.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-18T21:54:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60K35"
    ],
    "keywords": [
      "high temperature region",
      "central limit theorem",
      "sherrington-kirkpatrick model",
      "weighted average",
      "typical realization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5358P"
    }
  }
}