Wavelet analysis of fractal boundaries. II: Multifractal analysis
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Publication:2571154
DOI10.1007/s00220-005-1353-2zbMath1081.28007OpenAlexW2109486703MaRDI QIDQ2571154
Stéphane Jaffard, Clothilde Mélot
Publication date: 1 November 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-005-1353-2
Hausdorff dimensionbox dimensionmultifractal analysiswavelet coefficientsfractal boundariesweak-scaling exponent
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Hausdorff and packing measures (28A78)
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Cites Work
- Beyond Besov spaces. II: Oscillation spaces
- Random wavelet series
- Fractal measures and their singularities: The characterization of strange sets
- On the Distortion of Boundary Sets Under Conformal Mappings
- Orthonormal bases of compactly supported wavelets
- Two definitions of fractional dimension
- Fractal dimensions and spectra of interfaces with application to turbulence
- Multifractal Formalism for Functions Part I: Results Valid For All Functions
- Oscillation spaces: Properties and applications to fractal and multifractal functions
- On the multifractal analysis of measures
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