{
  "id": "math/9202209",
  "version": "v1",
  "published": "1992-02-03T00:00:00.000Z",
  "updated": "1992-02-03T00:00:00.000Z",
  "title": "Scalings in circle maps III",
  "authors": [
    "Jacek Graczyk",
    "Grzegorz Swiatek",
    "Folkert Tangerman",
    "J. J. P. Veerman"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Circle maps with a flat spot are studied which are differentiable, even on the boundary of the flat spot. Estimates on the Lebesgue measure and the Hausdorff dimension of the non-wandering set are obtained. Also, a sharp transition is found from degenerate geometry similar to what was found earlier for non-differentiable maps with a flat spot to bounded geometry as in critical maps without a flat spot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-02-03T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "circle maps",
      "flat spot",
      "degenerate geometry similar",
      "lebesgue measure",
      "sharp transition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......2209G"
    }
  }
}