{
  "id": "1603.06300",
  "version": "v1",
  "published": "2016-03-21T00:56:06.000Z",
  "updated": "2016-03-21T00:56:06.000Z",
  "title": "Solenoidal attractors with bounded combinatorics are shy",
  "authors": [
    "Daniel Smania"
  ],
  "comment": "44 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that in a generic finite-dimensional real-analytic family of real-analytic multimodal maps, the subset of parameters on which the corresponding map has a solenoidal attractor with bounded combinatorics is a set with zero Lebesgue measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-21T00:56:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E20",
      "37F25",
      "37C20",
      "37D20",
      "37E20",
      "37L45"
    ],
    "keywords": [
      "solenoidal attractor",
      "bounded combinatorics",
      "zero lebesgue measure",
      "real-analytic multimodal maps",
      "generic finite-dimensional real-analytic family"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306300S"
    }
  }
}