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SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET

  • BAEK, IN-SOO (Department of Mathematics Busan University of Foreign Studies)
  • Received : 2015.02.02
  • Published : 2015.06.30

Abstract

The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similarmeasure which is derived from the self-similar measure and the self-similar set.

Keywords

Hausdorff dimension;packing dimension;self-similar set;distribution set;local dimension set

Acknowledgement

Supported by : Busan University of Foreign Studies

References

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