{
  "id": "1708.08075",
  "version": "v1",
  "published": "2017-08-27T10:40:50.000Z",
  "updated": "2017-08-27T10:40:50.000Z",
  "title": "Jump processes on the boundaries of random trees",
  "authors": [
    "Yuki Tokushige"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Kigami showed that a transient random walk on a deterministic infinite tree $T$ induces its trace process on the Martin boundary of $T$. In this paper, we will deal with trace processes on Martin boundaries of random trees instead of deterministic ones, and prove short time log-asymptotic of on-diagonal heat kernel estimates and estimates of mean displacements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-27T10:40:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J25",
      "60J50"
    ],
    "keywords": [
      "random trees",
      "jump processes",
      "martin boundary",
      "on-diagonal heat kernel estimates",
      "trace process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}