{
  "id": "1505.00686",
  "version": "v1",
  "published": "2015-05-04T15:49:10.000Z",
  "updated": "2015-05-04T15:49:10.000Z",
  "title": "Hyperbolicity of renormalization for critical circle maps with non-integer exponents",
  "authors": [
    "Igors Gorbovickis",
    "Michael Yampolsky"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a renormalization operator which acts on analytic circle maps whose critical exponent $\\alpha$ is not necessarily an odd integer $2n+1$, $n\\in\\mathbb N$. When $\\alpha=2n+1$, our definition generalizes cylinder renormalization of analytic critical circle maps. In the case when $\\alpha$ is close to an odd integer, we prove hyperbolicity of renormalization for maps of bounded type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-04T15:49:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E20",
      "37F25"
    ],
    "keywords": [
      "non-integer exponents",
      "hyperbolicity",
      "odd integer",
      "definition generalizes cylinder renormalization",
      "analytic critical circle maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}