English

Multivariate multifractal analysis of L{\'e}vy functions. Part II: Validity of the multifractal formalism

Dynamical Systems 2025-05-15 v1

Abstract

In this article, we determine the multivariate multifractal Legendre spectra of shifted L{\'e}vy functions. This allows us to explore how the validity of the multivariate multifractal formalism depends on the shift parameter. This article is a continuation of [10] where the corresponding bivariate multifractal spectra were explored.

Keywords

Cite

@article{arxiv.2505.09230,
  title  = {Multivariate multifractal analysis of L{\'e}vy functions. Part II: Validity of the multifractal formalism},
  author = {Stéphane Jaffard and Lingmin Liao and Qian Zhang},
  journal= {arXiv preprint arXiv:2505.09230},
  year   = {2025}
}