{
  "id": "1601.06353",
  "version": "v1",
  "published": "2016-01-24T07:59:24.000Z",
  "updated": "2016-01-24T07:59:24.000Z",
  "title": "Product of Non-Hermitian Random Matrices",
  "authors": [
    "Mohamed Bouali"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We investigate the product of $n$ complex non-Hermitian, independent random matrices, each of size $N\\times N$ in the class of elliptic matrices, with independent identically distributed entries. The joint probability distribution of the complex eigenvalues of the product matrix is found to be given by a determinantal point process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-24T07:59:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian random matrices",
      "independent random matrices",
      "joint probability distribution",
      "determinantal point process",
      "elliptic matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}