{
  "id": "math/0608529",
  "version": "v2",
  "published": "2006-08-21T22:31:02.000Z",
  "updated": "2006-09-28T05:08:45.000Z",
  "title": "Periodic orbits in outer billiards",
  "authors": [
    "Alexander Tumanov",
    "Vadim Zharnitsky"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-28T05:08:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "outer billiard",
      "periodic orbits",
      "piecewise smooth convex boundary",
      "boundary form",
      "empty interior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8529T"
    }
  }
}