{
  "id": "1506.06469",
  "version": "v1",
  "published": "2015-06-22T04:45:48.000Z",
  "updated": "2015-06-22T04:45:48.000Z",
  "title": "Ergodization time for linear flows on tori via geometry of numbers",
  "authors": [
    "Abed Bounemoura"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we give a new, short, simple and geometric proof of the optimal er-godization time for linear flows on tori. This result was first obtained by Bourgain, Golse and Wennberg in [BGW98] using Fourier analysis. Our proof uses geometry of numbers: it follows trivially from a Diophantine duality that was established by the author and Fischler in [BF13].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-22T04:45:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear flows",
      "ergodization time",
      "optimal er-godization time",
      "geometric proof",
      "fourier analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150606469B"
    }
  }
}