{
  "id": "1608.01467",
  "version": "v1",
  "published": "2016-08-04T08:58:59.000Z",
  "updated": "2016-08-04T08:58:59.000Z",
  "title": "Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach",
  "authors": [
    "Jonathan Breuer",
    "Barry Simon",
    "Ofer Zeitouni"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This is a pedagogical exposition of the large deviation approach to sum rules pioneered by Gamboa, Nagel and Rouault. We'll explain how to use their ideas to recover the Szeg}o and Killip{ Simon Theorems. The primary audience is spectral theorists and people working on orthogonal polynomials who have limited familiarity with the theory of large deviations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-04T08:58:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "35P05",
      "42C05"
    ],
    "keywords": [
      "sum rules",
      "spectral theory",
      "pedagogical approach",
      "large deviation approach",
      "orthogonal polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}