Real Analysis Exchange

Quasi Self-Similarity and Multifractal Analysis of Cantor Measures

Kathryn E. Hare and Saroosh Yazdani

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We examine quasi self-similarity for Cantor measures on Cantor sets. A characterization is obtained in terms of the ratios of dissection of the Cantor set. The multifractal theory of Cantor measures is studied, extending the analysis for quasi self-similar measures.

Article information

Real Anal. Exchange, Volume 27, Number 1 (2001), 287-308.

First available in Project Euclid: 6 June 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 28A80: Fractals [See also 37Fxx] 28A78: Hausdorff and packing measures

Cantor sets quasi self-similarity dimension multifractal spectrum


Hare, Kathryn E.; Yazdani, Saroosh. Quasi Self-Similarity and Multifractal Analysis of Cantor Measures. Real Anal. Exchange 27 (2001), no. 1, 287--308.

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