Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra
Dynamical Systems
2025-05-15 v1
Abstract
We study the sets of points where a L\'evy function and a translated L\'evy function share a given couple of H\''older exponents, and we investigate how their Hausdorff dimensions depend on the translation parameter.
Keywords
Cite
@article{arxiv.2505.09228,
title = {Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra},
author = {Stéphane Jaffard and Lingmin Liao and Qian Zhang},
journal= {arXiv preprint arXiv:2505.09228},
year = {2025}
}