{
  "id": "1309.0142",
  "version": "v4",
  "published": "2013-08-31T18:42:19.000Z",
  "updated": "2014-10-04T00:03:49.000Z",
  "title": "A decomposition for additive functional of Levy processes",
  "authors": [
    "Luis Acuna Valverde"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Motivated by the recent results of Nualart and Xu \\cite{Nualart} concerning limits laws for occupation times of one dimensional symmetric stable processes, this paper proves a decomposition for functionals of one dimensional symmetric L\\'evy processes under certain conditions on the characteristic exponent and computes the moments of the decomposition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-21T18:57:00.000Z",
      "abstract": "Motivated by the recent results of Nualart and Xu [9] concerning limits laws for occupation times of one dimensional symmetric stables processes, we prove a decom- position for functionals of one dimensional symmetric Levy processes under certain conditions on their characteristic exponent.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-10-04T00:03:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "additive functional",
      "decomposition",
      "dimensional symmetric stables processes",
      "dimensional symmetric levy processes",
      "occupation times"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0142A"
    }
  }
}