On the determination of box dimensions by means of wavelet transforms

DOI10.1007/BF01058449zbMath0916.28004MaRDI QIDQ1279109

H. O. Rasmussen

Publication date: 1 March 1999

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

zbMATH Keywords

fractalswavelet transformsbox dimensionswavelet Weierstrass functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• On the wavelet analysis for multifractal sets
• Pointwise analysis of Riemann's ``nondifferentiable function
• On the wavelet transformation of fractal objects.
• A Frostman-like theorem for the wavelet transform on fractal sets
• Integrated wavelets on fractal sets. I. The correlation dimension

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