{
  "id": "math/0309223",
  "version": "v2",
  "published": "2003-09-13T16:59:03.000Z",
  "updated": "2003-10-01T10:10:55.000Z",
  "title": "Dimension via Waiting time and Recurrence",
  "authors": [
    "S. Galatolo"
  ],
  "comment": "This replace the previous version. New recent references are added",
  "categories": [
    "math.DS"
  ],
  "abstract": "Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point $x$ in a decreasing sequence of neighborhoods of another point $y$. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at $y$, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-01T10:10:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B20",
      "37C45"
    ],
    "keywords": [
      "waiting time",
      "local dimension",
      "first entrance time",
      "invariant measure",
      "quantitative recurrence indicators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9223G"
    }
  }
}