• 제목/요약/키워드: multifractal packing measure

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ANOTHER COMPLETE DECOMPOSITION OF A SELF-SIMILAR CANTOR SET

  • Baek, In Soo
    • Korean Journal of Mathematics
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    • 제16권2호
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    • pp.157-163
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    • 2008
  • Using informations of subsets of divergence points and the relation between members of spectral classes, we give another complete decomposition of spectral classes generated by lower(upper) local dimensions of a self-similar measure on a self-similar Cantor set with full information of their dimensions. We note that it is a complete refinement of the earlier complete decomposition of the spectral classes. Further we study the packing dimension of some uncountable union of distribution sets.

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