{
  "id": "2203.16103",
  "version": "v1",
  "published": "2022-03-30T07:24:33.000Z",
  "updated": "2022-03-30T07:24:33.000Z",
  "title": "Virtually expanding dynamics",
  "authors": [
    "Masato Tsujii"
  ],
  "comment": "7pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce a class of discrete dynamical systems that we call \\emph{virtually expanding}. This is an open subset of self-covering maps on a closed manifold which contains all expanding maps and some partially hyperbolic volume-expanding maps. We show that the Perron-Frobenius operator is quasi-compact on a Sobolev space of positive order for such class of dynamical systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-30T07:24:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "37C40"
    ],
    "keywords": [
      "virtually expanding dynamics",
      "open subset",
      "discrete dynamical systems",
      "sobolev space",
      "partially hyperbolic volume-expanding maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}