CHARACTERISTIC MULTIFRACTAL IN A SELF-SIMILAR CANTOR SET

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Published: May 15, 2008
DOI: https://doi.org/10.14403/jcms.2008.21.2.157
Keywords:
Hausdorff dimension, multifractal, distribution set, selfsimilar Cantor set
Mathematics Subject Classification (2020):
Primary 28A78, Secondary 28A80

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In Soo Baek
Department of Mathematics, Pusan University of Foreign Studies

Abstract





We study essentially disjoint one dimensionally indexed classes whose members are distribution sets of a self-similar Cantor set. The Hausdorff dimension of the union of distribution sets in a same class does not increases the Hausdorff dimension of the characteristic distribution set in the class. Further we study the Hausdorff dimension of some uncountable union of distribution sets.





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Article Details

Issue
Vol. 21 No. 2 (2008)
Section
Articles