{
  "id": "2103.12127",
  "version": "v1",
  "published": "2021-03-22T18:32:47.000Z",
  "updated": "2021-03-22T18:32:47.000Z",
  "title": "SRB measures for Anosov actions",
  "authors": [
    "Yannick Guedes Bonthonneau",
    "Colin Guillarmou",
    "Tobias Weich"
  ],
  "comment": "46 pages, 1 figure",
  "categories": [
    "math.DS",
    "math.DG",
    "math.SP"
  ],
  "abstract": "Given a general Anosov abelian action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in \\cite{BGHW20} using the theory of Ruelle-Taylor resonances. We show that these measures share many properties of Sinai-Ruelle-Bowen measures for general Anosov flows such as smooth desintegrations along the unstable foliation, positive Lebesgue measure basins of attraction and a Bowen formula in terms of periodic orbits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-22T18:32:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37C30",
      "37D30"
    ],
    "keywords": [
      "srb measures",
      "anosov actions",
      "general anosov abelian action",
      "general anosov flows",
      "positive lebesgue measure basins"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}