Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems

DOI10.1007/S003659900105zbMath0928.28002OpenAlexW2138865513MaRDI QIDQ1288974

Mourad Ben Slimane

Publication date: 2 January 2000

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900105

zbMATH Keywords

waveletHausdorff dimensionHölder exponentmultifractal formalismBesov's ``smoothness indexnonlinear self-similar functionspectrum of singularity

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Iteration of real functions in one variable (26A18) Index theory for dynamical systems, Morse-Conley indices (37B30) Hausdorff and packing measures (28A78)

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