{
  "id": "1511.01522",
  "version": "v1",
  "published": "2015-11-04T21:40:25.000Z",
  "updated": "2015-11-04T21:40:25.000Z",
  "title": "The Fine Structure of Herman Rings",
  "authors": [
    "Núria Fagella",
    "Christian Henriksen"
  ],
  "comment": "17 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3. Shishikura's quasiconformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. By studying the regularity properties of the maps involved, we can transfer McMullen's results on the fine local geometry of Siegel disks to the Herman ring setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-04T21:40:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D20"
    ],
    "keywords": [
      "herman ring",
      "fine structure",
      "siegel disk",
      "shishikuras quasiconformal surgery relates",
      "fine local geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}