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2001/2002 Multifractals and the Dimension of Exceptions
Károly Simon
Real Anal. Exchange 27(1): 191-208 (2001/2002).


We consider a one parameter family of self-similar sets of overlapping construction. We study the exceptional set; that is the set of those parameters for which the correlation dimension is smaller than the similarity dimension. We find a connection between the exceptional set and the multifractal analysis of a measure.


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Károly Simon. "Multifractals and the Dimension of Exceptions." Real Anal. Exchange 27 (1) 191 - 208, 2001/2002.


Published: 2001/2002
First available in Project Euclid: 6 June 2008

zbMATH: 1018.28006
MathSciNet: MR1887691

Primary: 28A78
Secondary: 28A80

Keywords: exceptional set , Multifractal analysis

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
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