{
  "id": "math/0701307",
  "version": "v1",
  "published": "2007-01-10T20:10:05.000Z",
  "updated": "2007-01-10T20:10:05.000Z",
  "title": "A New Approach to Universality Limits involving Orthogonal Polynomials",
  "authors": [
    "Doron S Lubinsky"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We show how localization and smoothing techniques can be used to establish universality in the bulk of the spectrum for a fixed positive measure mu on [-1,1]. Assume that mu is a regular measure, and is absolutely continuous in an open interval containing some closed subinterval J of (-1,1). Assume that in J, the absolutely continuous component mu' is positive and continuous. Then universality in J for mu follows from universality for the classical Legendre weight. We also establish universality in an L_{p} sense under weaker assumptions on mu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-10T20:10:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal polynomials",
      "universality limits",
      "establish universality",
      "open interval",
      "fixed positive measure mu"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1307L"
    }
  }
}