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2001/2002 Quasi Self-Similarity and Multifractal Analysis of Cantor Measures
Kathryn E. Hare, Saroosh Yazdani
Real Anal. Exchange 27(1): 287-308 (2001/2002).

Abstract

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.

Citation

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Kathryn E. Hare. Saroosh Yazdani. "Quasi Self-Similarity and Multifractal Analysis of Cantor Measures." Real Anal. Exchange 27 (1) 287 - 308, 2001/2002.

Information

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

zbMATH: 1035.28010
MathSciNet: MR1887859

Subjects:
Primary: 28A78 , 28A80

Keywords: Cantor sets , dimension , multifractal spectrum , quasi self-similarity

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
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