Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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
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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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