{
  "id": "1903.07910",
  "version": "v1",
  "published": "2019-03-19T10:01:43.000Z",
  "updated": "2019-03-19T10:01:43.000Z",
  "title": "Random interlacements for vertex-reinforced jump processes",
  "authors": [
    "Franz Merkl",
    "Silke W. W. Rolles",
    "Pierre Tarrès"
  ],
  "comment": "30 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce random interlacements for transient vertex-reinforced jump processes on a general graph $G$. Using increasing finite subgraphs $G_n$ of $G$ with wired boundary conditions, we show convergence of the vertex-reinforced jump process on $G_n$ observed in a finite window to the random interlacement observed in the same window.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-19T10:01:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37",
      "60J27"
    ],
    "keywords": [
      "random interlacement",
      "transient vertex-reinforced jump processes",
      "increasing finite subgraphs",
      "general graph",
      "wired boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}