{
  "id": "math/0406326",
  "version": "v1",
  "published": "2004-06-16T15:27:28.000Z",
  "updated": "2004-06-16T15:27:28.000Z",
  "title": "Weak mixing for interval exchange transformations and translation flows",
  "authors": [
    "Artur Avila",
    "Giovanni Forni"
  ],
  "comment": "21 pages, no figures, first version",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus $g \\geq 2$ (with prescribed singularity types) is weakly mixing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-16T15:27:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak mixing",
      "typical interval exchange transformation",
      "irrational rotation",
      "typical translation flow",
      "prescribed singularity types"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6326A"
    }
  }
}