Journal of applied mathematics & informatics
- Volume 26 Issue 3_4
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- Pages.733-738
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
DIMENSIONS OF THE SUBSETS IN THE SPECTRAL CLASSES OF A SELF-SIMILAR CANTOR SET
- Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
- Published : 2008.05.31
Abstract
Using an information of dimensions of divergence points, we give full information of dimensions of the completely decomposed class of the lower(upper) distribution sets of a self-similar Cantor set. Further using a relationship between the distribution sets and the subsets generated by the lower(upper) local dimensions of a self-similar measure, we give full information of dimensions of the subsets by the local dimensions.