{
  "id": "0807.2231",
  "version": "v1",
  "published": "2008-07-14T19:16:04.000Z",
  "updated": "2008-07-14T19:16:04.000Z",
  "title": "Hausdorff dimension for ergodic measures of interval exchange transformations",
  "authors": [
    "Jon Chaika"
  ],
  "comment": "7 pages",
  "journal": "Journal of Modern Dynamics, July 2008 455-462",
  "categories": [
    "math.DS"
  ],
  "abstract": "I show that there exist minimal interval exchange transformations with an ergodic measure whose Hausdorff dimension is arbitrarily small, even 0. I will also show that in particular cases one can bound the Hausdorff dimension between $\\frac 1 {2r+4}$ and $\\frac 1 r$ for any r greater than 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-14T19:16:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hausdorff dimension",
      "ergodic measure",
      "minimal interval exchange transformations",
      "arbitrarily small"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2231C"
    }
  }
}