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arXiv · 2209.14612

A review of univariate and multivariate multifractal analysis illustrated by the analysis of marathon runners physiological data

Stéphane Jaffard·Guillaume Saës·Wejdene Ben Nasr·Florent Palacin·Véronique Billat
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Abstract

We review the central results concerning wavelet methods in multifractal analysis, which consists in analysis of the pointwise singularities of a signal, and we describe its recent extension to multivariate multifractal analysis, which deals with the joint analysis of several signals; we focus on the mathematical questions that this new techniques motivate. We illustrate these methods by an application to data recorded on marathon runners.

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Stéphane Jaffard, Guillaume Saës, Wejdene Ben Nasr, Florent Palacin, Véronique Billat. 2022-09-29. A review of univariate and multivariate multifractal analysis illustrated by the analysis of marathon runners physiological data. https://arxiv.org/abs/2209.14612

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