{
  "id": "1904.04709",
  "version": "v1",
  "published": "2019-04-09T14:43:27.000Z",
  "updated": "2019-04-09T14:43:27.000Z",
  "title": "Dynamical and arithmetic degrees for random iterations of maps on projective space",
  "authors": [
    "Wade Hindes"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We show that the dynamical degree of an (i.i.d) random sequence of dominant, rational self-maps on projective space is almost surely constant. We then apply this result to height growth and height counting problems in random orbits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-09T14:43:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective space",
      "random iterations",
      "arithmetic degrees",
      "random sequence",
      "rational self-maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}