{
  "id": "1812.10746",
  "version": "v1",
  "published": "2018-12-27T15:41:38.000Z",
  "updated": "2018-12-27T15:41:38.000Z",
  "title": "Stable processes with stationary increments parameterized by metric spaces",
  "authors": [
    "Zuopeng Fu",
    "Yizao Wang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "A new family of stable processes indexed by metric spaces with stationary increments are introduced. They are special cases of a new family of set-indexed stable processes with Chentsov representation. At the heart of the representation, a result on the so-called measure definite kernels is of independent interest. A limit theorem for set-indexed processes is also established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-27T15:41:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary increments",
      "metric spaces",
      "measure definite kernels",
      "special cases",
      "independent interest"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}