Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MULTIFRACTAL SPECTRA BY QUASI-SELF-SIMILAR MEASURES ON A PERTURBED CANTOR SET

  • Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
  • Published : 2004.01.01

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Abstract

We study the Hausdorff and packing dimensions of subsets composing multifractal spectrum generated by a quasi-self-similar probability measure on a perturbed Cantor set.

Keywords

References

  1. Real Analysis Exchange v.19 no.1 Dimension of the perturbed Cantor set I.S. Baek
  2. Real Analysis Exchange v.26 no.2 Weak local dimension on deranged Cantor sets I.S. Baek
  3. Acta Math. Hungar. v.99 no.4 Hausdorff dimension of perturbed Cantor sets without some boundedness condition I.S. Baek
  4. J. Appl. Math. & Computing Dimensions of measures on perturbed Cantor set I.S. Baek
  5. Bull. Korean Math. Soc. Cantor dimension and its application I.S. Baek
  6. Spectra of deranged Cantor set by weak local dimension I.S. Baek
  7. Techniques in fractal geometry K. J. Falconer
  8. Adv. Math. v.116 Multifractal formalism L. Olsen