On equivalent definitions of the correlation dimension for a probability measure

DOI10.1007/BF02199116zbMath0916.28005MaRDI QIDQ1285289

Matthias Holschneider, Charles-Antoine Guerin

Publication date: 26 April 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformcorrelation dimensionfractal measureaveragesprobability Borel measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) Fractals (28A80) Hausdorff and packing measures (28A78)

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Cites Work

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• On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
• Fractal wavelet dimensions and localization
• Scattering on fractal measures