{
  "id": "1301.5918",
  "version": "v1",
  "published": "2013-01-24T21:54:32.000Z",
  "updated": "2013-01-24T21:54:32.000Z",
  "title": "On the Largest Eigenvalue of Products from the β-Laguerre Ensemble",
  "authors": [
    "Zachary Gelbaum"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We determine the limiting distribution of the largest eigenvalue of products from the $\\beta$-Laguerre ensemble. This limiting distribution is given by a Tracy-Widom law with parameter $\\beta_0>0$ depending on the ratio of the parameters of the two matrices involved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-24T21:54:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "largest eigenvalue",
      "limiting distribution",
      "tracy-widom law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5918G"
    }
  }
}