{
  "id": "1210.2016",
  "version": "v3",
  "published": "2012-10-07T02:35:17.000Z",
  "updated": "2014-04-15T02:34:00.000Z",
  "title": "New results on Hunt's hypothesis (H) for Lévy processes",
  "authors": [
    "Ze-Chun Hu",
    "Wei Sun",
    "Jing Zhang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we present new results on Hunt's hypothesis (H) for L\\'{e}vy processes. We start with a comparison result on L\\'{e}vy processes which implies that big jumps have no effect on the validity of (H). Based on this result and the Kanda-Forst-Rao theorem, we give examples of subordinators satisfying (H). Afterwards we give a new necessary and sufficient condition for (H) and obtain an extended Kanda-Forst-Rao theorem. By virtue of this theorem, we give a new class of L\\'{e}vy processes satisfying (H). Finally, we construct a type of subordinators that does not satisfy Rao's condition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-15T02:34:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J45",
      "60G51"
    ],
    "keywords": [
      "hunts hypothesis",
      "lévy processes",
      "satisfy raos condition",
      "subordinators",
      "comparison result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.2016H"
    }
  }
}