{
  "id": "1801.06413",
  "version": "v1",
  "published": "2018-01-19T14:20:54.000Z",
  "updated": "2018-01-19T14:20:54.000Z",
  "title": "Large deviation for return times",
  "authors": [
    "Adriana Coutinho",
    "Jerome Rousseau",
    "Benoit Saussol"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a large deviation result for return times of the orbits of a dynamical system in a $r$-neighbourhood of an initial point $x$. Our result may be seen as a differentiable version of the work by Jain and Bansal who considered the return time of a stationary and ergodic process defined in a space of infinite sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-19T14:20:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "return time",
      "large deviation result",
      "infinite sequences",
      "ergodic process",
      "initial point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}