Some prevalent sets in multifractal analysis: how smooth is almost every function in \(T_p^\alpha(x)\)
DOI10.1007/s00041-022-09951-5zbMath1493.42058OpenAlexW4283770530MaRDI QIDQ2154361
Laurent Loosveldt, Samuel Nicolay
Publication date: 19 July 2022
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-022-09951-5
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
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Cites Work
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- Wavelets techniques for pointwise anti-Hölderian irregularity
- Pointwise smoothness of space-filling functions
- Pointwise smoothness, two-microlocalization and wavelet coefficients
- Generalized pointwise Hölder spaces defined via admissible sequences
- Multifractal analysis of the Brjuno function
- Wavelet bases in generalized Besov spaces
- Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
- Local regularity of nonsmooth wavelet expansions and application to the Polya function
- On sets of Haar measure zero in abelian Polish groups
- Wavelet analysis of fractal boundaries. II: Multifractal analysis
- On some characterizations of Besov spaces of generalized smoothness
- Orthonormal bases of compactly supported wavelets
- Ten Lectures on Wavelets
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
- The Prevalence of Continuous Nowhere Differentiable Functions
- Multifractal Formalism for Functions Part I: Results Valid For All Functions
- Finite-Resolution Effects in $p$ -Leader Multifractal Analysis
- Some characterizations of generalized Hölder spaces
- Generalized spaces of pointwise regularity: toward a general framework for the WLM
- Some equivalent definitions of Besov spaces of generalized smoothness
- A practical method to experimentally evaluate the Hausdorff dimension: An alternative phase-transition-based methodology
- Generalized $T^p_u$ spaces: On the trail of Calderón and Zygmund
- Brownian Motion
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