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Multi-fractal formalism for quasi-self-similar functions

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Publication:1863029
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DOI10.1023/A:1015729908167zbMath1052.82002OpenAlexW3007264760MaRDI QIDQ1863029

Jamil Aouidi, Mourad Ben Slimane

Publication date: 11 March 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015729908167


zbMATH Keywords

waveletsturbulencebox dimensioncascade modelsGibbs measuresFrostman's methodmulti-fractal formalismnon-self-similarfunctions


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Classical equilibrium statistical mechanics (general) (82B05) Fractals (28A80) Dynamical systems approach to turbulence (76F20) Dimension theory of smooth dynamical systems (37C45)


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MULTIFRACTAL ANALYSIS OF SOME WEIGHTED QUASI-SELF-SIMILAR FUNCTIONS ⋮ Multi-fractal formalism for non-self-similar functions ⋮ Wavelets techniques for pointwise anti-Hölderian irregularity ⋮ The upper entropy index of a set and the Hausdorff dimension of its hyperspace ⋮ Hölder regularity of \(\mu\)-similar functions ⋮ Some Functional Equations Revisited: The Multifractal Properties ⋮ A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS



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