{
  "id": "1404.2308",
  "version": "v1",
  "published": "2014-04-08T20:59:13.000Z",
  "updated": "2014-04-08T20:59:13.000Z",
  "title": "On the Hausdorff dimension of Newhouse phenomena",
  "authors": [
    "Pierre Berger",
    "Jacopo De Simoi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphism admits infinitely many periodic sinks is at least 1/2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-08T20:59:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hausdorff dimension",
      "newhouse phenomena",
      "periodic sinks",
      "surface diffeomorphism",
      "parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.2308B"
    }
  }
}