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

Proceedings of the Royal Society of Edinburgh Section A Mathematics 2026

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Authors: Stéphane Jaffard, Lingmin Liao, Q. Zhang
DOI: 10.1017/prm.2025.10120
Cited by: 1
References: 28

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Complex Systems and Time Series Analysis Theoretical and Computational Physics

Publication details

Journal / source
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Publisher
Cambridge University Press (CUP)
Pages
1–32
Publication date
13 January 2026
Language
EN