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

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math.DS2025

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…

math.DS2025

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…