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On the wavelet analysis for multifractal sets

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Publication:749957
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DOI10.1007/BF01023655zbMath0713.58033OpenAlexW2040657415MaRDI QIDQ749957

Sandro Vaienti, Jean-Michel Ghez

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01023655

zbMATH Keywords

waveletsmultifractalHausdorff dimensions


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99)


Related Items

Singularity spectra of fractional Brownian motions as a multi-fractal, On the wavelet formalism for multifractal analysis, Wavelet transforms and order-two densities of fractals, Dynamical integral transform on fractal sets and the computation of entropy, On the determination of box dimensions by means of wavelet transforms



Cites Work

  • Pointwise analysis of Riemann's ``nondifferentiable function
  • The dimension spectrum of some dynamical systems
  • On the wavelet transformation of fractal objects.
  • Fractal measures and their singularities: The characterization of strange sets
  • Dimension, entropy and Lyapunov exponents
  • Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
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