Multivariate multifractal analysis of Lévy functions. Part I: Determination of multifractal spectra

We study the sets of points where a Lévy function and a translated Lévy function share a given couple of Hölder exponents, and we investigate how their Hausdorff dimensions depend on the translation parameter.

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Publication Details

Journal
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Published
2026-01-13
DOI
https://doi.org/10.1017/prm.2025.10120
Citations
1
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
65.46
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article

Multivariate multifractal analysis of Lévy functions. Part I: Determination of multifractal spectra

Lingmin Liao, Q. Zhang, Stéphane Jaffard
1 citations
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Mathematical Dynamics and Fractals
65.46
article

Multivariate multifractal analysis of Lévy functions. Part I: Determination of multifractal spectra

Lingmin Liao, Q. Zhang, Stéphane Jaffard
article en
1 citations

Abstract

We study the sets of points where a Lévy function and a translated Lévy function share a given couple of Hölder exponents, and we investigate how their Hausdorff dimensions depend on the translation parameter.

Proceedings of the Royal Society of Edinburgh Section A Mathematics
Centre National de la Recherche Scientifique (FR), Université Paris-Est Créteil (FR), Wuhan University (CN), Université Gustave Eiffel (FR)
Reduced inequalities
Openalex Percentile: Top 1%
Mathematical Dynamics and Fractals
65.46
DOISourceOpenAlex
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