Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Mutifractal Analysis of Perturbed Cantor Sets

  • Baek, Hun Ki (Department of Mathematics, Kyungpook National University) ;
  • Lee, Hung Hwan (Department of Mathematics, Kyungpook National University)
  • Received : 2005.05.09
  • Published : 2005.12.23
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Abstract

Let $\left{K_{\alpha}\right}_{{\alpha}{\in}{\mathbb{R}}}$ be the multifractal spectrums of a perturbed Cantor set K. We find the set of values ${\alpha}$ of nonempty set $K_{\alpha}$ by using the Birkhoff ergodic theorem. And we also show that such $K_{\alpha}$ is a fractal set in the sense of Taylor [12].

Keywords

References

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