{
  "id": "1510.06630",
  "version": "v1",
  "published": "2015-10-22T14:00:15.000Z",
  "updated": "2015-10-22T14:00:15.000Z",
  "title": "Hitting probabilities of random covering sets in torus and metric spaces",
  "authors": [
    "Esa Järvenpää",
    "Maarit Järvenpää",
    "Henna Koivusalo",
    "Bing Li",
    "Ville Suomala",
    "Yimin Xiao"
  ],
  "comment": "21 pages",
  "categories": [
    "math.PR",
    "math.CA",
    "math.DS"
  ],
  "abstract": "We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in the torus, we deal with general analytic generating sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-22T14:00:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hitting probabilities",
      "ahlfors regular metric spaces",
      "general analytic generating sets",
      "hausdorff dimension",
      "sharp lower"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151006630J"
    }
  }
}