{
  "id": "2101.05658",
  "version": "v1",
  "published": "2021-01-14T15:15:51.000Z",
  "updated": "2021-01-14T15:15:51.000Z",
  "title": "A growth-fragmentation connected to the ricocheted stable process",
  "authors": [
    "Alexander R. Watson"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Growth-fragmentation processes describe the evolution of systems in which cells grow slowly and fragment suddenly. Despite originating as a way to describe biological phenomena, they have recently been found to describe the lengths of certain curves in statistical physics models. In this note, we describe a new growth-fragmentation connected to random planar maps with faces of large degree, having as a key ingredient the ricocheted stable process recently discovered by Budd. The process has applications to the excursions of planar Brownian motion and Liouville quantum gravity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-14T15:15:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80",
      "60G18",
      "60G52",
      "60G51"
    ],
    "keywords": [
      "ricocheted stable process",
      "random planar maps",
      "planar brownian motion",
      "liouville quantum gravity",
      "growth-fragmentation processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}