{
  "id": "1706.07125",
  "version": "v1",
  "published": "2017-06-21T21:47:01.000Z",
  "updated": "2017-06-21T21:47:01.000Z",
  "title": "A 2-spine Decomposition of the Critical Galton-Watson Tree and a Probabilistic Proof of Yaglom's Theorem",
  "authors": [
    "Yan-Xia Ren",
    "Renming Song",
    "Zhenyao Sun"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom's theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-21T21:47:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical galton-watson tree",
      "probabilistic proof",
      "yagloms theorem",
      "two-spine decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}