Multifractal properties of typical convex functions

DOI10.1007/s00605-017-1140-0zbMath1401.28011arXiv1704.02816OpenAlexW2605508802MaRDI QIDQ1673737

Zoltán Buczolich, Stéphane Seuret

Publication date: 14 September 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02816

zbMATH Keywords

convexitymultifractal spectrumHölder singularity spectrumtypical/generic function

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Fractals (28A80) Convexity of real functions of several variables, generalizations (26B25) Hausdorff and packing measures (28A78)

Related Items (3)

Three examples of residual pathologies ⋮ Dimension prints for continuous functions on the unit square ⋮ A survey on prescription of multifractal behavior

Cites Work

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• Multifractal spectrum and generic properties of functions monotone in several variables
• Most convex functions are smooth
• Die meisten konvexen Körper sind glatt, aber nicht zu glatt
• Typical Borel measures on [0, 1^dsatisfy a multifractal formalism]
• Multifractal spectra of typical and prevalent measures

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