{
  "id": "math/0501448",
  "version": "v2",
  "published": "2005-01-25T15:14:01.000Z",
  "updated": "2005-02-04T20:37:12.000Z",
  "title": "The rigidity problem for analytic critical circle maps",
  "authors": [
    "D. Khmelev",
    "M. Yampolsky"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "It is shown that if $f$ and $g$ are any two analytic critical circle mappings with the same irrational rotation number, then the conjugacy that maps the critical point of $f$ to that of $g$ has regularity $C^{1+\\alpha}$ at the critical point, with a universal value of $\\alpha>0$. As a consequence, a new proof of the hyperbolicity of the full renormalization horseshoe of critical circle maps is given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-04T20:37:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E10"
    ],
    "keywords": [
      "analytic critical circle maps",
      "rigidity problem",
      "analytic critical circle mappings",
      "full renormalization horseshoe",
      "critical point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1448K"
    }
  }
}