{
  "id": "1911.12992",
  "version": "v1",
  "published": "2019-11-29T08:07:36.000Z",
  "updated": "2019-11-29T08:07:36.000Z",
  "title": "Estimating the Hausdorff measure by recurrence",
  "authors": [
    "Ł. Pawelec"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below. The method requires computing the subsequent closest return times of a point to itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-29T08:07:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37A20"
    ],
    "keywords": [
      "hausdorff measure",
      "recurrence",
      "subsequent closest return times",
      "estimating",
      "fractal set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}