{
  "id": "1304.8127",
  "version": "v2",
  "published": "2013-04-30T19:29:35.000Z",
  "updated": "2014-10-01T21:08:00.000Z",
  "title": "Topological mixing for some residual sets of interval exchange transformations",
  "authors": [
    "Jon Chaika",
    "Jon Fickenscher"
  ],
  "comment": "Update to include revisions based on referee's comments. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-014-2191-x",
  "doi": "10.1007/s00220-014-2191-x",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that a residual set of non-degenerate IETs on more than 3 letters is topologically mixing. This shows that there exists a uniquely ergodic topologically mixing IET. This is then applied to show that some billiard flows in a fixed direction in an L-shaped polygon are topologically mixing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-30T19:29:35.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-01T21:08:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interval exchange transformations",
      "residual set",
      "topological mixing",
      "non-degenerate iets",
      "uniquely ergodic topologically mixing iet"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.8127C"
    }
  }
}