Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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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)
  • 발행 : 2008.05.31
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초록

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.

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