{
  "id": "2204.01511",
  "version": "v1",
  "published": "2022-04-04T14:11:56.000Z",
  "updated": "2022-04-04T14:11:56.000Z",
  "title": "Explicit examples of resonances for Anosov maps of the torus",
  "authors": [
    "Mark Pollicott",
    "Benedict Sewell"
  ],
  "comment": "23 pages, 4 figures",
  "categories": [
    "math.DS",
    "math.SP"
  ],
  "abstract": "In [23], Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of the two-torus for which their resonances could be completely described. Their approach was based on composition operators acting on analytic anisotropic Hilbert spaces, and in this note we present a construction of alternative anisotropic Hilbert spaces which helps to simplify parts of their analysis and gives scope for constructing further examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-04T14:11:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "37C05",
      "37D20",
      "37A25"
    ],
    "keywords": [
      "explicit examples",
      "anosov maps",
      "resonances",
      "analytic anisotropic hilbert spaces",
      "gave concrete examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}