{
  "id": "1611.09840",
  "version": "v1",
  "published": "2016-11-29T20:50:30.000Z",
  "updated": "2016-11-29T20:50:30.000Z",
  "title": "Hedgehogs in higher dimensions and their applications",
  "authors": [
    "Mikhail Lyubich",
    "Remus Radu",
    "Raluca Tanase"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In this paper we study the dynamics of germs of holomorphic diffeomorphisms of $(\\mathbb{C}^{n},0)$ with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of $0$ is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-29T20:50:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37F30",
      "32A10"
    ],
    "keywords": [
      "higher dimensions",
      "applications",
      "local center manifold",
      "holomorphic diffeomorphisms",
      "neutral eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}