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2000/2001 Weak Local Dimension on Deranged Cantor Sets
In Soo Baek
Real Anal. Exchange 26(2): 553-558 (2000/2001).


We define weak local dimension at each point in a deranged Cantor set. Using this, we classify the deranged Cantor set into a multifractal structure which is useful for computing the Hausdorff dimension and the packing dimension of the deranged Cantor set. Finally, we give examples in which the weak local dimensions are used for the calculation of the dimensions in a deterministic case and a probabilistic case.


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In Soo Baek. "Weak Local Dimension on Deranged Cantor Sets." Real Anal. Exchange 26 (2) 553 - 558, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1010.28010
MathSciNet: MR1844135

Primary: 28A80
Secondary: 60B05

Keywords: deranged Cantor set , Hausdorff dimension , Packing dimension , weak local dimension

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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