Journal of applied mathematics & informatics
- Volume 23 Issue 1_2
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- Pages.497-503
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
MULTIFRACTAL BY SELF-SIMILAR MEASURES
- Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
- Published : 2007.01.31
Abstract
We consider a non-empty subset having same local dimension of a self-similar measure on a most generalized Cantor set. We study trans-formed lower(upper) local dimensions of an element of the subset which are local dimensions of all the self-similar measures on the most generalized Cantor set. They give better information of Hausdorff(packing) dimension of the afore-mentioned subset than those only from local dimension of a given self-similar measure.
Keywords
- Hausdorff dimension;
- packing dimension;
- deranged Cantor set;
- self-similar measure;
- transformed measure