On the projections of the multifractal Hewitt-Stromberg dimension functions
Dynamical Systems
2019-11-22 v1
Abstract
The aim of this paper is to study the behavior of the multifractal Hewitt-Stromberg dimension functions under projections in Euclidean space. As an application, we study the multifractal analysis of the projections of a measure. In particular, we obtain general results for the multifractal analysis of the orthogonal projections on -dimensional linear subspaces of a measure satisfying the multifractal formalism which is based on the Hewitt-Stromberg measures.
Keywords
Cite
@article{arxiv.1911.09643,
title = {On the projections of the multifractal Hewitt-Stromberg dimension functions},
author = {Bilel Selmi},
journal= {arXiv preprint arXiv:1911.09643},
year = {2019}
}
Comments
arXiv admin note: Substantial text overlap with arXiv:1901.03834. Text overlap with arXiv:1711.05316 by other authors