{
  "id": "1108.5330",
  "version": "v5",
  "published": "2011-08-26T15:43:49.000Z",
  "updated": "2012-12-18T13:49:14.000Z",
  "title": "Persistent massive attractors of smooth maps",
  "authors": [
    "Denis Volk"
  ],
  "comment": "13 pages. Added more references, updated existing ones",
  "journal": "Ergodic Theory and Dynamical Systems, FirstView Article, pp 1-12, 2012",
  "doi": "10.1017/etds.2012.139",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a smooth manifold of any dimension greater than one, we present an open set of smooth endomorphisms such that any of them has a transitive attractor with a non-empty interior. These maps are $m$-fold non-branched coverings, $m \\ge 3$. The construction applies to any manifold of the form $S^1 \\times M$, where $S^1$ is the standard circle and $M$ is an arbitrary manifold.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-12-18T13:49:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C20",
      "37C70",
      "37D20",
      "37D45"
    ],
    "keywords": [
      "persistent massive attractors",
      "smooth maps",
      "arbitrary manifold",
      "standard circle",
      "dimension greater"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5330V"
    }
  }
}