Real Analysis Exchange
- Real Anal. Exchange
- Volume 27, Number 1 (2001), 191-208.
Multifractals and the Dimension of Exceptions
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.
Real Anal. Exchange, Volume 27, Number 1 (2001), 191-208.
First available in Project Euclid: 6 June 2008
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Simon, Károly. Multifractals and the Dimension of Exceptions. Real Anal. Exchange 27 (2001), no. 1, 191--208. https://projecteuclid.org/euclid.rae/1212763960