{
  "id": "1206.6965",
  "version": "v2",
  "published": "2012-06-29T08:46:08.000Z",
  "updated": "2012-07-11T03:24:06.000Z",
  "title": "Invisibility in billiards is impossible in an infinite number of directions",
  "authors": [
    "Alexander Plakhov",
    "Vera Roshchina"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the billiard in the exterior of a piecewise smooth body in two-dimensional Euclidean space and show that the maximum number of directions of invisibility in such billiard is at most finite.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-11T03:24:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite number",
      "invisibility",
      "directions",
      "two-dimensional euclidean space",
      "maximum number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6965P"
    }
  }
}