54 citations · 137 across the 19 of their papers we have counts for
23 papers
Multivariate multifractal analysis of L{é}vy functions. Part II: Validity of the multifractal formalism
Stéphane Jaffard, Lingmin Liao, Qian Zhang
In this article, we determine the multivariate multifractal Legendre spectra of shifted L{é}vy functions. This allows us to explore how the validity of the multivariate multifracta…
Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra
Stéphane Jaffard, Lingmin Liao, Qian Zhang
We study the sets of points where a Lévy function and a translated Lévy function share a given couple of H\''older exponents, and we investigate how their Hausdorff dimensions depe…
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…
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…
The WQN algorithm for EEG artifact removal in the absence of scale invariance
Matteo Dora, Stéphane Jaffard, David Holcman
Electroencephalogram (EEG) signals reflect brain activity across different brain states, characterized by distinct frequency distributions. Through multifractal analysis tools, we…
Regularity properties of random wavelet series
Céline Esser, Stéphane Jaffard, Béatrice Vedel
We study the regularity properties of random wavelet series constructed by multiplying the coefficients of a deterministic wavelet series with unbounded I.I.D. random variables. In…