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Fixed points for the multifractal spectrum map

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Publication:295809
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DOI10.1007/s00365-015-9317-zzbMath1342.28019OpenAlexW2258306053MaRDI QIDQ295809

Delphine Maman, Stéphane Seuret

Publication date: 13 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00365-015-9317-z

zbMATH Keywords

Hausdorff dimensionHausdorff measuremultifractalsHölder exponentlocal regularity


Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fractals (28A80) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)


Related Items

A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method, A survey on prescription of multifractal behavior, Topology on new sequence spaces defined with wavelet leaders



Cites Work

  • Measures and functions with prescribed homogeneous multifractal spectrum
  • A pure jump Markov process with a random singularity spectrum
  • A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
  • Inverse Problems in Multifractal Analysis
  • Local Multifractal Analysis
  • Measure theoretic laws for lim sup sets
  • On the multifractal analysis of measures
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