{
  "id": "1104.4299",
  "version": "v3",
  "published": "2011-04-21T15:55:51.000Z",
  "updated": "2012-02-20T10:02:29.000Z",
  "title": "On and Off-diagonal Sturmian operator: dynamic and spectral dimension",
  "authors": [
    "Laurent Marin"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:math-ph/0502044 and arXiv:0807.3024 by other authors",
  "doi": "10.1142/S0129055X12500110",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study two versions of quasicrystal model, both subcases of Jacobi matrices. For Off-diagonal model, we show an upper bound of dynamical exponent and the norm of the transfer matrix. We apply this result to the Off-diagonal Fibonacci Hamiltonian and obtain a sub-ballistic bound for coupling large enough. In diagonal case, we improve previous lower bounds on the fractal box-counting dimension of the spectrum.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-02-20T10:02:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "47B36"
    ],
    "keywords": [
      "off-diagonal sturmian operator",
      "spectral dimension",
      "off-diagonal fibonacci hamiltonian",
      "fractal box-counting dimension",
      "upper bound"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4299M"
    }
  }
}