{
  "id": "1506.02573",
  "version": "v1",
  "published": "2015-06-08T16:24:53.000Z",
  "updated": "2015-06-08T16:24:53.000Z",
  "title": "On the spectrum of the transfer operators of a one-parameter family with intermittency transition",
  "authors": [
    "S. Ben Ammou",
    "C. Bonanno",
    "I. Chouari",
    "S. Isola"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the transfer operators for a family $F_r:[0,1] \\to [0,1]$ depending on the parameter $r\\in [0,1]$, which interpolates between the tent map and the Farey map. In particular, considering the action of the transfer operator on a suitable Hilbert space, we can define a family of infinite matrices associated to the operators and study their spectrum by numerical methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-08T16:24:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transfer operator",
      "intermittency transition",
      "one-parameter family",
      "suitable hilbert space",
      "tent map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}