{
  "id": "1410.8069",
  "version": "v1",
  "published": "2014-10-29T17:38:41.000Z",
  "updated": "2014-10-29T17:38:41.000Z",
  "title": "On the leading eigenvalue of transfer operators of the Farey map with real temperature",
  "authors": [
    "S. Ben Ammou",
    "C. Bonanno",
    "I. Chouari",
    "S. Isola"
  ],
  "comment": "9 pages, 3 figures",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the spectral properties of a family of generalized transfer operators associated to the Farey map. We show that when acting on a suitable space of holomorphic functions, the operators are self-adjoint and the positive dominant eigenvalue can be approximated by means of the matrix expression of the operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-29T17:38:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "farey map",
      "real temperature",
      "leading eigenvalue",
      "matrix expression",
      "spectral properties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.chaos.2014.12.004",
      "journal": "Chaos Solitons and Fractals",
      "year": 2015,
      "month": "Feb",
      "volume": 71,
      "pages": 60
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CSF....71...60B"
    }
  }
}