{
  "id": "math/0508537",
  "version": "v1",
  "published": "2005-08-26T17:35:21.000Z",
  "updated": "2005-08-26T17:35:21.000Z",
  "title": "On a conjecture of Widom",
  "authors": [
    "Alexei Borodin",
    "Alexei Novikov"
  ],
  "comment": "9 pages",
  "doi": "10.1088/0305-4470/39/28/S07",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determinants. As a byproduct we obtain a new proof of A.Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-26T17:35:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjecture",
      "large toeplitz determinants",
      "correlation functions",
      "okounkovs formula",
      "schur measures"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2006,
      "month": "Jul",
      "volume": 39,
      "number": 28,
      "pages": 8895
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JPhA...39.8895B"
    }
  }
}