{
  "id": "1408.2215",
  "version": "v2",
  "published": "2014-08-10T12:08:46.000Z",
  "updated": "2015-04-09T05:58:21.000Z",
  "title": "Averaging in random systems of nonnegative matrices",
  "authors": [
    "Janusz Mierczyński"
  ],
  "comment": "8 pages. Accepted (in a slightly modified form) in the Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid 2014",
  "categories": [
    "math.DS"
  ],
  "abstract": "It is proved that for the top Lyapunov exponent of a random matrix system of the form $\\{A D(\\omega)\\}$, where $A$ is a nonnegative matrix and $D(\\omega)$ is a diagonal matrix with positive diagonal entries, is bounded from below by the top Lyapunov exponent of the averaged system. This is in contrast to what one should expect of systems describing biological metapopulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-10T12:08:46.000Z",
      "comment": "Submitted to the Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2014",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-09T05:58:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H15",
      "15B48",
      "92D25"
    ],
    "keywords": [
      "random systems",
      "nonnegative matrices",
      "lyapunov exponent",
      "random matrix system",
      "diagonal matrix"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.2215M"
    }
  }
}