{
  "id": "0801.1858",
  "version": "v2",
  "published": "2008-01-11T21:56:55.000Z",
  "updated": "2008-06-26T15:52:29.000Z",
  "title": "Lectures on random matrix models. The Riemann-Hilbert approach",
  "authors": [
    "Pavel M. Bleher"
  ],
  "comment": "84 pages, 23 figures, to appear in the CRM volume on \"Random Matrices\", Springer, 2008",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This is a review of the Riemann-Hilbert approach to the large $N$ asymptotics in random matrix models and its applications. We discuss the following topics: random matrix models and orthogonal polynomials, the Riemann-Hilbert approach to the large $N$ asymptotics of orthogonal polynomials and its applications to the problem of universality in random matrix models, the double scaling limits, the large $N$ asymptotics of the partition function, and random matrix models with external source.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-26T15:52:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23"
    ],
    "keywords": [
      "random matrix models",
      "riemann-hilbert approach",
      "orthogonal polynomials",
      "asymptotics",
      "applications"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 84,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 777406,
      "adsabs": "2008arXiv0801.1858B"
    }
  }
}