Multifractals and the Dimension of Exceptions

Károly Simon

doi:rae/1212763960

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Home > Journals > Real Anal. Exchange > Volume 27 > Issue 1 > Article

2001/2002 Multifractals and the Dimension of Exceptions

Károly Simon

Real Anal. Exchange 27(1): 191-208 (2001/2002).

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Abstract

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.