A survey on prescription of multifractal behavior
DOI10.1007/978-3-030-59649-1_3zbMath1470.11211arXiv2001.11834OpenAlexW3003885791MaRDI QIDQ2019731
Publication date: 22 April 2021
Full work available at URL: https://arxiv.org/abs/2001.11834
waveletsHölderHausdorff measure and dimensionSobolev and Besov spacesBaire category and spacesfractals and multifractals
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Classification of real functions; Baire classification of sets and functions (26A21)
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Cites Work
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- Fixed points for the multifractal spectrum map
- Dimensions of prevalent continuous functions
- Measures and functions with prescribed homogeneous multifractal spectrum
- Multifractal spectrum and generic properties of functions monotone in several variables
- Some generic properties in analysis,
- The infinite number of generalized dimensions of fractals and strange attractors
- How smooth is almost every function in a Sobolev space?
- Wavelet construction of generalized multifractional processes
- On the Frisch-Parisi conjecture
- Multifractality of jump diffusion processes
- Multifractal properties of typical convex functions
- A multifractal formalism
- Functions with prescribed Hölder exponent
- Local behavior of traces of Besov functions: prevalent results
- A pure jump Markov process with a random singularity spectrum
- Regularity criteria for almost every function in Sobolev spaces
- From multifractal measures to multifractal wavelet series
- Inverse problems in multifractal analysis of measures
- PrevalentLq-dimensions of measures
- Typical Borel measures on [0, 1dsatisfy a multifractal formalism]
- Irregularities and scaling in signal and image processing: multifractal analysis
- Fractal measures and their singularities: The characterization of strange sets
- Ten Lectures on Wavelets
- Sur les fonctions non dérivables
- Multifractal spectra of typical and prevalent measures
- Large scale detection of half-flats in CAT(0)-spaces
- On the multifractal analysis of measures
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