Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 21 Issue 2
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- Pages.157-163
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- 2008
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
CHARACTERISTIC MULTIFRACTAL IN A SELF-SIMILAR CANTOR SET
- Baek, In Soo (Department of Mathematics Pusan University of Foreign Studies)
- Received : 2008.01.29
- Accepted : 2008.04.02
- Published : 2008.06.30
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.