{
  "id": "1201.1401",
  "version": "v3",
  "published": "2012-01-06T12:21:50.000Z",
  "updated": "2013-11-04T12:41:48.000Z",
  "title": "Rigidity for piecewise smooth homeomorphisms on the circle",
  "authors": [
    "Kleyber Cunha",
    "Daniel Smania"
  ],
  "comment": "40 pages",
  "journal": "Advances in Mathematics 250 (2014) 193--226",
  "categories": [
    "math.DS"
  ],
  "abstract": "We find conditions for two piecewise C^{2+\\nu} homeomorphisms f and g of the circle to be C^1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean nonlinearity for f and g.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-04T12:41:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E10",
      "37E05",
      "37E20",
      "37C05",
      "37B10"
    ],
    "keywords": [
      "piecewise smooth homeomorphisms",
      "assume zero mean nonlinearity",
      "necessary conditions",
      "one-side derivatives",
      "bounded combinatorics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013AnIHP..30..441C"
    }
  }
}