{
  "id": "math/0503655",
  "version": "v1",
  "published": "2005-03-29T07:29:32.000Z",
  "updated": "2005-03-29T07:29:32.000Z",
  "title": "Asymptotics for hitting times",
  "authors": [
    "M. Kupsa",
    "Y. Lacroix"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117904000000883 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2005, Vol. 33, No. 2, 610-619",
  "doi": "10.1214/009117904000000883",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobability measures on the line belonging to the functional class {6pt} {-3mm}(A){6mm}F={F:R\\to [0,1]:\\left\\lbrack \\matrixF is increasing, null on ]-\\infty, 0]; \\noalignF is continuous and concave; \\noalignF(t)\\le t for t\\ge 0.\\right.}. {6pt} Note that all possible asymptotics are absolutely continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-29T07:29:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37A50",
      "60F05",
      "28D05"
    ],
    "keywords": [
      "hitting times",
      "asymptotics",
      "aperiodic ergodic dynamical systems",
      "distribution functions",
      "subprobability measures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3655K"
    }
  }
}