Multifractal Analysis Based on p-Exponents and Lacunarity Exponents

DOI10.1007/978-3-319-18660-3_15zbMath1337.28008arXiv1505.06885OpenAlexW1636167493MaRDI QIDQ2808824

Herwig Wendt, Stéphane Jaffard, Clothilde Mélot, Patrice Abry, Roberto Leonarduzzi

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06885

zbMATH Keywords

waveletHausdorff dimensionHölder regularityscale invariancefractalmultifractal\(p\)-exponentlacunarity exponent

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractals (28A80)

Related Items (6)

\(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity ⋮ \(p\)-exponent and \(p\)-leaders. II: Multifractal analysis. relations to detrended fluctuation analysis ⋮ Multivariate multifractal analysis ⋮ New Exponents for Pointwise Singularity Classification ⋮ Multifractal analysis of the Brjuno function ⋮ \(T^{[p}\)-formalism in Besov spaces]

Cites Work

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• On the dimension of the graph of the classical Weierstrass function
• Wavelet leaders and bootstrap for multifractal analysis of images
• The oscillation behavior of empirical processes
• Singularity spectrum of multifractal functions involving oscillating singularities
• Fractal characteristics of measures: An approach via function spaces
• On lacunary wavelet series.
• \(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity
• Pointwise regularity criteria
• Random wavelet series
• Regularity criteria for almost every function in Sobolev spaces
• Wavelet techniques for pointwise regularity
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Random wavelet series based on a tree-indexed Markov chain
• Wavelet analysis of fractal boundaries. I: Local exponents
• A Bridge Between Geometric Measure Theory and Signal Processing: Multifractal Analysis
• Function Spaces Vs. Scaling Functions: Tools for Image Classification
• Irregularities and scaling in signal and image processing: multifractal analysis
• Multifractal Formalism for Functions Part I: Results Valid For All Functions

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