{
  "id": "1711.04210",
  "version": "v1",
  "published": "2017-11-12T00:18:56.000Z",
  "updated": "2017-11-12T00:18:56.000Z",
  "title": "On the favorite points of symmetric Lévy processes",
  "authors": [
    "Yimin Xiao",
    "Xiaochuan Yang"
  ],
  "comment": "23p",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite points of L\\'evy processes. By exploring Molchan's idea for deriving lower tail probabilities of Gaussian processes with stationary increments, we extend the result of Marcus (2001) on the favorite points to a larger class of symmetric L\\'evy processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-12T00:18:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J75",
      "60J55",
      "60G15"
    ],
    "keywords": [
      "symmetric lévy processes",
      "favorite points",
      "deriving lower tail probabilities",
      "symmetric levy processes",
      "exploring molchans idea"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}