Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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MULTIFRACTAL BY SELF-SIMILAR MEASURES

  • Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
  • 발행 : 2007.01.31

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초록

We consider a non-empty subset having same local dimension of a self-similar measure on a most generalized Cantor set. We study trans-formed lower(upper) local dimensions of an element of the subset which are local dimensions of all the self-similar measures on the most generalized Cantor set. They give better information of Hausdorff(packing) dimension of the afore-mentioned subset than those only from local dimension of a given self-similar measure.

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