{
  "id": "1807.07360",
  "version": "v1",
  "published": "2018-07-19T12:13:49.000Z",
  "updated": "2018-07-19T12:13:49.000Z",
  "title": "Green function of a random walk in a cone",
  "authors": [
    "Jetlir Duraj",
    "Vitali Wachtel"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper studies the asymptotic behavior of the Green function of a multidimensional random walk killed when leaving a convex cone with smooth boundary. Our results imply uniqueness, up to a multiplicative factor, of the positive harmonic function for the killed random walk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-19T12:13:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50"
    ],
    "keywords": [
      "green function",
      "multidimensional random walk",
      "paper studies",
      "positive harmonic function",
      "results imply uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}