Title :
Hausdorff Dimension Spectrum of Self-Affine Carpets Indexed by Nonlinear Fibre-Coding
Author_Institution :
Sch. of Math. & Stat., Xianning Coll., Xianning, China
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;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.86
