{
  "id": "math-ph/0703043",
  "version": "v3",
  "published": "2007-03-13T17:04:41.000Z",
  "updated": "2007-10-28T22:08:36.000Z",
  "title": "Random matrices, non-backtracking walks, and orthogonal polynomials",
  "authors": [
    "Sasha Sodin"
  ],
  "comment": "(more) minor changes",
  "journal": "J. Math. Phys. 48 (2007), no. 12",
  "doi": "10.1063/1.2819599",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "Several well-known results from the random matrix theory, such as Wigner's law and the Marchenko--Pastur law, can be interpreted (and proved) in terms of non-backtracking walks on a certain graph. Orthogonal polynomials with respect to the limiting spectral measure play a role in this approach.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-10-28T22:08:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal polynomials",
      "non-backtracking walks",
      "random matrices",
      "random matrix theory",
      "limiting spectral measure play"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}