MULTIFRACTAL ANALYSIS OF SOME WEIGHTED QUASI-SELF-SIMILAR FUNCTIONS

DOI10.1142/S0219691311004407zbMath1244.28006OpenAlexW2056869290MaRDI QIDQ2891169

Jamil Aouidi, Anouar Ben Mabrouk

Publication date: 13 June 2012

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/s0219691311004407

zbMATH Keywords

waveletsbox dimensionGibbs measuresmultifractal formalismself-similar functionsFrostman's methodquasi-self-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 (2)

MIXED MULTIFRACTAL ANALYSIS FOR FUNCTIONS: GENERAL UPPER BOUND AND OPTIMAL RESULTS FOR VECTORS OF SELF-SIMILAR OR QUASI-SELF-SIMILAR OF FUNCTIONS AND THEIR SUPERPOSITIONS ⋮ A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS

Cites Work

• Lipschitz equivalence of self-similar sets
• On some nonlinear nonisotropic quasi-self-similar functions
• A higher order multifractal formalism
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems
• The validity of the multifractal formalism: Results and examples
• Signal representation and segmentation based on multifractal stationarity
• Multi-fractal formalism for quasi-self-similar functions
• A multifractal formalism
• Self-similar structure on intersections of triadic Cantor sets
• Gap sequence, Lipschitz equivalence and box dimension of fractal sets
• On the Lipschitz equivalence of Cantor sets
• Sur la dimension de boîte des graphes
• Multifractal Formalism for Functions Part I: Results Valid For All Functions
• Formalisme Multifractal pour quelques généralisations des fonctions autosimilaires
• LIPSCHITZ EQUIVALENCE OF SELF-CONFORMAL SETS
• Multi-fractal formalism for non-self-similar functions
• ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
• STUDY OF SOME NONLINEAR SELF-SIMILAR DISTRIBUTIONS
• On the multifractal analysis of measures
• Multifractal formalism for selfsimilar functions expanded in singular basis

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