{
  "id": "2201.01959",
  "version": "v2",
  "published": "2022-01-06T07:59:06.000Z",
  "updated": "2024-03-26T07:22:38.000Z",
  "title": "Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces",
  "authors": [
    "J. Beck",
    "W. W. L. Chen"
  ],
  "comment": "32 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we show that billiard orbits in rational polygons and geodesics on translation surfaces exhibit super-fast spreading, an optimal time-quantitative majority property about the corresponding linear flow that implies uniformity in almost every direction.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-03-26T07:22:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K38",
      "37E35"
    ],
    "keywords": [
      "billiard orbits",
      "rational polygons",
      "translation surfaces",
      "super-fast spreading",
      "optimal time-quantitative majority property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}