Title :
Hausdorff Dimension of Besicovitch Type Subsets of a Class of Self-Affine Set
Author :
Chen, Mingzhong ; Zhou, Yong ; Gui, Yongxin
Author_Institution :
Sch. of Math. & Stat., Xianning Coll., Xianning, China
Abstract :
In this paper we study Besicovitch type subsets of a class of self-affine set which are defined in terms of the asymptotic behaviour of the frequencies of their digits in their codings. A formula for their Hausdorff dimension is given.
Keywords :
affine transforms; fractals; set theory; Besicovitch type subsets; Hausdorff dimension; fractals; self-affine set; Conferences; Encoding; Fractals; Markov processes; Programming; System-on-a-chip; Hausdorff dimension; Hausdorff measure; self-affine set;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.50
