학술저널
CHARACTERISTIC MULTIFRACTAL IN A SELF-SIMILAR CANTOR SET
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 2
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2008.06157 - 163 (7 pages)
- 0
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.
1. Introduction
2. Preliminaries
3. Main results
References
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