{
  "id": "1609.05791",
  "version": "v1",
  "published": "2016-09-19T15:40:29.000Z",
  "updated": "2016-09-19T15:40:29.000Z",
  "title": "Quantitative recurrence of some dynamical systems with an infinite measure in dimension one",
  "authors": [
    "Nasab Yassine"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We are interested in the asymptotic behaviour of the first return time of the orbits of a dynamical system into a small neighbourhood of their starting points. We study this quantity in the context of dynamical systems preserving an infinite measure. More precisely, we consider the case of $\\mathbb{Z}$-extensions of subshifts of finite type. We also consider a toy probabilistic model to enlight the strategy of our proofs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-19T15:40:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical system",
      "infinite measure",
      "quantitative recurrence",
      "first return time",
      "toy probabilistic model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}