{
  "id": "1407.1776",
  "version": "v1",
  "published": "2014-07-07T17:16:53.000Z",
  "updated": "2014-07-07T17:16:53.000Z",
  "title": "Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps",
  "authors": [
    "Stefano Marmi",
    "Jean-Christophe Yoccoz"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the solutions of the cohomological equation for Roth type interval exchange maps are H\\\"older continuous provided that the datum is of class $C^r$ with $r>1$ and belongs to a finite-codimension linear subspace.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-07T17:16:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15",
      "37E05",
      "37J40",
      "11J70"
    ],
    "keywords": [
      "roth type interval exchange maps",
      "cohomological equation",
      "hölder regularity",
      "finite-codimension linear subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1776M"
    }
  }
}