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20222025
most citedMultifractal analysis based on the weak scaling exponent and applications to MEG recordings in neuroscience

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

eess.SP2025★ 1 cited

Multifractal analysis based on the weak scaling exponent and applications to MEG recordings in neuroscience

Patrice Abry, Phipippe Ciuciu, Merlin Dumeur +2

We develop the mathematical properties of a multifractal analysis of data based on the weak scaling exponent. The advantage of this analysis is that it does not require any a prior…

eess.SP2025

Multifractal Analysis of Physiological Signals: A Novel Approach to Optimizing Pacing Strategy in a Pilot Study

Véronique Billat, Wejdene Nasr Ben Hadj Amor, Guillaume Saës +2

Marathons are one of the ultimate challenges of human endeavor. In this paper, we apply recently introduced multifractal techniques which yield a new classification parameter in th…

math.CA2023

Characterization of p-exponents by continuous wavelet transforms, applications to the multifractal analysis of sum of random pulses

Guillaume Saës

The theory of orthonormal wavelet bases is a useful tool in multifractal analysis, as it provides a characterization of the different exponents of pointwise regularities (H{ö}lder,…

eess.SP2022

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

Stéphane Jaffard, Guillaume Saës, Wejdene Ben Nasr +2

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…

physics.bio-ph2022

Multifractal analysis of physiological data from marathon runners

Guillaume Saës, Wejdene Ben Nasr, Stéphane Jaffard +2

We propose an analysis of heart rate marathon runners implemented by computing a multifractal spectrum based on p-exponents. We draw physiological conclusions about their performan…