{
  "id": "math/0405280",
  "version": "v1",
  "published": "2004-05-14T13:54:31.000Z",
  "updated": "2004-05-14T13:54:31.000Z",
  "title": "Periodic billiard orbits in right triangle",
  "authors": [
    "Serge Troubetzkoy"
  ],
  "journal": "Annales de l'Institut Fourier 55 (2005) 29-46",
  "categories": [
    "math.DS"
  ],
  "abstract": "There is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-14T13:54:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic billiard orbits",
      "right triangle",
      "unique nonsingular perpendicular billiard orbit",
      "periodic billiards orbits",
      "perpendicular periodic orbits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5280T"
    }
  }
}