{
  "id": "1902.04192",
  "version": "v1",
  "published": "2019-02-12T00:32:26.000Z",
  "updated": "2019-02-12T00:32:26.000Z",
  "title": "Reduced dynamical systems",
  "authors": [
    "Luka Boc Thaler",
    "Uroš Kuzman"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the dynamics of complex rational maps on the Riemann sphere. We prove that, after reducing their orbits to a fixed number of positive values representing the Fubini-Study distances between finitely many initial elements of the orbit and the origin, ergodic properties of the rational map are preserved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-12T00:32:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37A35"
    ],
    "keywords": [
      "reduced dynamical systems",
      "complex rational maps",
      "riemann sphere",
      "initial elements",
      "fubini-study distances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}