{
  "id": "1707.01151",
  "version": "v1",
  "published": "2017-07-04T20:51:57.000Z",
  "updated": "2017-07-04T20:51:57.000Z",
  "title": "Asymptotic periodicity in outer billiards with contraction",
  "authors": [
    "José Pedro Gaivão"
  ],
  "comment": "17 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for almost every $(P,\\lambda)$ where $P$ is a convex polygon and $\\lambda\\in(0,1)$, the corresponding outer billiard about $P$ with contraction $\\lambda$ is asymptotically periodic, i.e., has a finite number of periodic orbits and every orbit is attracted to one of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-04T20:51:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E99"
    ],
    "keywords": [
      "asymptotic periodicity",
      "contraction",
      "finite number",
      "periodic orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}