{
  "id": "1001.2340",
  "version": "v1",
  "published": "2010-01-13T23:56:59.000Z",
  "updated": "2010-01-13T23:56:59.000Z",
  "title": "The asymptotics a Bessel-kernel determinant which arises in Random Matrix Theory",
  "authors": [
    "Torsten Ehrhardt"
  ],
  "comment": "50 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In Random Matrix Theory the local correlations of the Laguerre and Jacobi Unitary Ensemble in the hard edge scaling limit can be described in terms of the Bessel kernel (containing a parameter $\\alpha$). In particular, the so-called hard edge gap probabilities can be expressed as the Fredholm determinants of the corresponding integral operator restricted to the finite interval [0, R]. Using operator theoretic methods we are going to compute their asymptotics as R goes to infinity under certain assumption on the parameter $\\alpha$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-13T23:56:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "random matrix theory",
      "bessel-kernel determinant",
      "asymptotics",
      "hard edge gap probabilities",
      "operator theoretic methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.2340E"
    }
  }
}