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

Autor:	Jaffard, Stéphane, Saës, Guillaume, Nasr, Wejdene Ben, Palacin, Florent, Billat, Véronique
Rok vydání:	2022
Předmět:	Electrical Engineering and Systems Science - Signal Processing Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Quantitative Biology - Tissues and Organs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.14612 Zobrazit plný text záznamu View this record from Arxiv