A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS

DOI10.1142/S021969131450009XzbMath1282.42033OpenAlexW2146793272MaRDI QIDQ2874065

Jamil Aouidi, Anouar Ben Mabrouk

Publication date: 28 January 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021969131450009x

zbMATH Keywords

waveletsHausdorff dimensionHölder regularitymulti-fractal formalismself similar functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Fractals (28A80)

Related Items (6)

On the mixed multifractal formalism for vector-valued measures ⋮ Projections of measures with small supports ⋮ Mixed wavelet leaders multifractal formalism in a product of critical Besov spaces ⋮ ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ On the Projections of the Mutual Multifractal Renyi Dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• On some nonlinear nonisotropic quasi-self-similar functions
• A higher order multifractal formalism
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages.
• Divergence points of deformed empirical measures.
• The dimension spectrum of some dynamical systems
• An improved multifractal formalism and self-similar measures
• Signal representation and segmentation based on multifractal stationarity
• Multi-fractal formalism for quasi-self-similar functions
• A multifractal formalism
• On Bandt's tangential distribution for self-similar measures
• Mixed generalized dimensions of self-similar measures
• MULTIFRACTAL ANALYSIS OF SOME WEIGHTED QUASI-SELF-SIMILAR FUNCTIONS
• Multifractal Formalism for Functions Part I: Results Valid For All Functions
• Applications of multifractal divergence points to sets of numbers defined by their $N$ -adic expansion
• NORMAL AND NON-NORMAL POINTS OF SELF-SIMILAR SETS AND DIVERGENCE POINTS OF SELF-SIMILAR MEASURES
• ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
• STUDY OF SOME NONLINEAR SELF-SIMILAR DISTRIBUTIONS
• On the multifractal analysis of measures

This page was built for publication: A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS