{
  "id": "1605.08510",
  "version": "v1",
  "published": "2016-05-27T05:35:21.000Z",
  "updated": "2016-05-27T05:35:21.000Z",
  "title": "Bounded orbits of certain diagonalizable flows on $SL_{n}(\\mathbb{R})/SL_{n}(\\mathbb{Z})$",
  "authors": [
    "Lifan Guan",
    "Weisheng Wu"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the set of points that have bounded orbits under certain diagonalizable flows is a hyperplane absolute winning subset of $SL_{n}(\\mathbb{R})/SL_{n}(\\mathbb{Z})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-27T05:35:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded orbits",
      "diagonalizable flows",
      "hyperplane absolute winning subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}