{
  "id": "2304.04542",
  "version": "v1",
  "published": "2023-04-10T12:25:22.000Z",
  "updated": "2023-04-10T12:25:22.000Z",
  "title": "A.S. convergence for infinite colour Pólya urns associated with stable random walks",
  "authors": [
    "Arthur Blanc-Renaudie"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We answer Problem 11.1 of Janson arXiv:1803.04207 on P\\'olya urns associated with stable random walk. Our proof use neither martingales nor trees, but an approximation with a differential equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-10T12:25:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05"
    ],
    "keywords": [
      "infinite colour pólya urns",
      "stable random walk",
      "convergence",
      "answer problem",
      "differential equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}