• DocumentCode
    2795228
  • Title

    Hausdorff Dimension Spectrum of Self-Affine Carpets Indexed by Nonlinear Fibre-Coding

  • Author

    Gui, Yongxin

  • Author_Institution
    Sch. of Math. & Stat., Xianning Coll., Xianning, China
  • fYear
    2009
  • fDate
    6-8 Nov. 2009
  • Firstpage
    382
  • Lastpage
    386
  • Abstract
    In this paper we study a class of subsets of self-affine carpets which are indexed by fibre-coding, but their limiting frequencies have nonlinear relation. We obtain their Hausdorff dimension spectrum and give the necessary and sufficient conditions of these fractal sets to be s-set.
  • Keywords
    fractals; iterative methods; Hausdorff dimension spectrum; IFS; fractal sets; iterated function system; nonlinear fibre-coding; nonlinear relation; s-set; self-affine carpets; Chaos; Educational institutions; Fractals; Frequency measurement; Mathematics; Optical fiber theory; Statistics; Sufficient conditions; Hausdorff dimension; Hausdorff measure; self-affine carpets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
  • Conference_Location
    Shenyang
  • Print_ISBN
    978-0-7695-3853-2
  • Type

    conf

  • DOI
    10.1109/IWCFTA.2009.86
  • Filename
    5362041
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2795228