{
  "id": "1604.03666",
  "version": "v1",
  "published": "2016-04-13T06:09:13.000Z",
  "updated": "2016-04-13T06:09:13.000Z",
  "title": "On Transience of Lévy-Type Processes",
  "authors": [
    "Nikola Sandrić"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we study weak and strong transience of a class of Feller processes associated with pseudo-differential operators, the so-called L\\'evy-type processes. As a main result, we derive Chung-Fuchs type conditions (in terms of the symbol of the corresponding pseudo-differential operator) for these properties, which are sharp for L\\'evy processes. Also, as a consequence, we discuss the weak and strong transience with respect to the dimension of the state space and Pruitt indices, thus generalizing some well-known results related to elliptic diffusion and stable L\\'evy processes. Finally, in the case when the symbol is radial (in the co-variable) we provide conditions for the weak and strong transience in terms of the L\\'evy measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-13T06:09:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J25",
      "60J75",
      "60G17"
    ],
    "keywords": [
      "lévy-type processes",
      "strong transience",
      "pseudo-differential operator",
      "derive chung-fuchs type conditions",
      "feller processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160403666S"
    }
  }
}