{
  "id": "1512.08179",
  "version": "v1",
  "published": "2015-12-27T07:18:23.000Z",
  "updated": "2015-12-27T07:18:23.000Z",
  "title": "Product of Independent Cauchy-Lorentz Random Matrices",
  "authors": [
    "Mohamed Bouali"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1208.0187 by other authors",
  "categories": [
    "math.PR"
  ],
  "abstract": "We investigate the product of $n$ complex non-Hermitian, independent random matrices, each of size $N_i\\times N_{i+1}$ $(i=1,...,n)$, with independent identically distributed Cauchy entries (Cauchy-Lorentz matrices). The joint probability distribution of the complex eigenvalues of the product matrix is found to be given by a determinantal point process as in the case of a single Cauchy-Lorentz matrix, but with weight given by a Meijer G-function depending on $n$ and $N_i$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-27T07:18:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independent cauchy-lorentz random matrices",
      "joint probability distribution",
      "independent random matrices",
      "independent identically distributed cauchy entries",
      "determinantal point process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208179B"
    }
  }
}