{
  "id": "1701.01584",
  "version": "v1",
  "published": "2017-01-06T09:35:18.000Z",
  "updated": "2017-01-06T09:35:18.000Z",
  "title": "Note on the spectrum of classical and uniform exponents of Diophantine approximation",
  "authors": [
    "Antoine Marnat"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the $2n$ exponents of Diophantine approximation in dimension $n\\geq3$ is a subset of $\\mathbb{R}^{2n}$ with non empty interior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-06T09:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J13"
    ],
    "keywords": [
      "diophantine approximation",
      "uniform exponents",
      "non empty interior",
      "parametric geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}