{
  "id": "1701.06873",
  "version": "v1",
  "published": "2017-01-24T13:57:31.000Z",
  "updated": "2017-01-24T13:57:31.000Z",
  "title": "On the differentiability of hairs for Zorich maps",
  "authors": [
    "Patrick Comdühr"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Devaney and Krych showed that for the exponential family $\\lambda e^z$, where $0<\\lambda <1/e$, the Julia set consists of uncountably many pairwise disjoint simple curves tending to $\\infty$. Viana proved that these curves are smooth. In this article we consider a quasiregular counterpart of the exponential map, the so-called Zorich maps, and generalize Viana's result to these maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-24T13:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30C65",
      "30D05"
    ],
    "keywords": [
      "zorich maps",
      "differentiability",
      "julia set consists",
      "pairwise disjoint simple curves tending",
      "quasiregular counterpart"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}