On the projections of mutual multifractal spectra
Metric Geometry
2021-10-22 v1
Abstract
The aim of this article is to study the behaviour of the relative multifractal spectrum under projections. First of all, we depict a relationship between the mutual multifractal spectra of a couple of measures and its orthogonal projections in Euclidean space. As an application, we improve Svetova's result (Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 11 (2004), 41-46) and study the mutual multifractal analysis of the projections of measures.
Keywords
Cite
@article{arxiv.1805.06866,
title = {On the projections of mutual multifractal spectra},
author = {Zied Douzi and Bilel Selmi},
journal= {arXiv preprint arXiv:1805.06866},
year = {2021}
}