{
  "id": "1506.07371",
  "version": "v1",
  "published": "2015-06-24T14:08:26.000Z",
  "updated": "2015-06-24T14:08:26.000Z",
  "title": "Law of the Iterated Logarithm for some Markov operators",
  "authors": [
    "Sander C. Hille",
    "Katarzyna Horbacz",
    "Tomasz Szarek",
    "Hanna Wojewódka"
  ],
  "comment": "23 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The Law of the Iterated Logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model examined by A. Lasota and M.C. Mackey, J. Math. Biol. (1999).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-24T14:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J25",
      "37A25"
    ],
    "keywords": [
      "markov operators",
      "iterated logarithm",
      "cell cycle model",
      "iterated function systems",
      "invariant measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150607371H"
    }
  }
}