{
  "id": "2109.10260",
  "version": "v1",
  "published": "2021-09-21T15:35:12.000Z",
  "updated": "2021-09-21T15:35:12.000Z",
  "title": "On the rate of escape or approach to the origin of a random string",
  "authors": [
    "Phúc Lâm"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we extend upon a result by Mueller and Tribe regarding Funaki's model of a random string. Specifically, we examine the rate of escape of this model in dimensions $d \\ge 7$. We also provide a bound for the rate of approach to the origin in dimension $d = 6$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-21T15:35:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random string",
      "tribe regarding funakis model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}