{
  "id": "1405.0295",
  "version": "v1",
  "published": "2014-05-01T20:09:06.000Z",
  "updated": "2014-05-01T20:09:06.000Z",
  "title": "Martin boundary for some symmetric Lévy processes",
  "authors": [
    "Panki Kim",
    "Renming Song",
    "Zoran Vondraček"
  ],
  "comment": "36 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric L\\'evy processes in ${\\mathbb R}^d$. We show that, if $D\\subset {\\mathbb R}^d$ is an open set which is $\\kappa$-fat at a boundary point $Q\\in \\partial D$, then there is exactly one Martin boundary point associated with $Q$ and this Martin boundary point is minimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-01T20:09:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J50",
      "31C40",
      "31C35",
      "60J45",
      "60J75"
    ],
    "keywords": [
      "symmetric lévy processes",
      "open set",
      "purely discontinuous symmetric levy processes",
      "martin boundary point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.0295K"
    }
  }
}