论文标题
单变量和多变量多重分析的综述，通过对马拉松跑步者生理数据的分析进行了说明
A review of univariate and multivariate multifractal analysis illustrated by the analysis of marathon runners physiological data
论文作者
论文摘要
我们回顾了有关多型分析中小波方法的中心结果，该结果包括对信号的点奇异点的分析，我们将其最近扩展到多变量多型分析，该分析涉及多个信号的联合分析；我们专注于这种新技术激发的数学问题。我们通过对马拉松赛跑者记录的数据的应用程序来说明这些方法。
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.
