{
  "id": "1509.04780",
  "version": "v1",
  "published": "2015-09-16T00:55:47.000Z",
  "updated": "2015-09-16T00:55:47.000Z",
  "title": "A note on the polynomial moments of the partition function in the SK model",
  "authors": [
    "Sergey Bocharov"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a simple identity relating the $k$th moment of the partition function $Z_N(\\cdot)$ in the SK model to the $N$th moment of the partition function $Z_k(\\cdot)$. As a corollary we find a characterisation of the limit $\\lim_{N \\to \\infty} \\frac{1}{N} \\log \\mathbb{E} Z_N(\\beta)^k$ alternative to the one found previously by Michel Talagrand in \\cite{4}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-16T00:55:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function",
      "sk model",
      "polynomial moments",
      "th moment",
      "michel talagrand"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150904780B"
    }
  }
}