Prevalent mixed Hölder spectra and mixed multifractal formalism in a product of continuous Besov spaces
From MaRDI portal
Publication:5350527
DOI10.1088/1361-6544/aa79c7zbMath1370.26009OpenAlexW2736920152MaRDI QIDQ5350527
Publication date: 1 September 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/aa79c7
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Lipschitz (Hölder) classes (26A16) Fractals (28A80) Hausdorff and packing measures (28A78)
Related Items
Multivariate multifractal formalism for simultaneous pointwise (Tuipi)i regularities, Multifractal formalisms for multivariate analysis, \(T^{[p}\)-formalism in Besov spaces], On the Baire generic validity of the \(t\)-multifractal formalism in Besov and Sobolev spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Baire typical results for mixed Hölder spectra on product of continuous Besov or oscillation spaces
- Multifractal spectrum and generic properties of functions monotone in several variables
- Some generic properties in analysis,
- Typical \(L^q\)-dimensions of measures
- How smooth is almost every function in a Sobolev space?
- Typical upper \(L^q\)-dimensions of measures for \(q\in [0,1\)]
- Singularity spectrum of fractal signals from wavelet analysis: Exact results
- Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems
- The multifractal nature of Lévy processes
- On lacunary wavelet series.
- On the Frisch-Parisi conjecture
- Beyond Besov spaces. II: Oscillation spaces
- The spectrum of singularities of Riemann's function
- A pure jump Markov process with a random singularity spectrum
- Hölder regularity of \(\mu\)-similar functions
- Mixed generalized dimensions of self-similar measures
- The singularity spectrum of Lévy processes in multifractal time
- Typical Borel measures on [0, 1dsatisfy a multifractal formalism]
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- THE MULTIFRACTAL FORMALISM REVISITED WITH WAVELETS
- Multifractal Formalism for Functions Part I: Results Valid For All Functions
- Formalisme Multifractal pour quelques généralisations des fonctions autosimilaires
- ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
- Multifractal spectra of typical and prevalent measures
- Generic Validity of the Multifractal Formalism
