{
  "id": "1904.13297",
  "version": "v1",
  "published": "2019-04-30T15:08:19.000Z",
  "updated": "2019-04-30T15:08:19.000Z",
  "title": "Simplicity of spectrum for certain multidimensional continued fraction algorithms",
  "authors": [
    "Charles Fougeron",
    "Alexandra Skripchenko"
  ],
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "In the current paper we prove simplicity for the spectrum of Lyapunov exponents for triangle sequence and Selmer algorithm in dimension 3. We introduce a strategy that can be applied for a wide class of Markovian MCF.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-30T15:08:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multidimensional continued fraction algorithms",
      "simplicity",
      "markovian mcf",
      "triangle sequence",
      "selmer algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}