Year: 2021
Author: Zied Douzi, Bilel Selmi
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 4 : pp. 572–592
Abstract
In this paper, we compare the mutual multifractal Rényi dimensions to the mutual multifractal Hausdorff and pre-packing dimensions. We also provide a relationship between the mutual multifractal Rényi dimensions of orthogonal projections of a couple of measures $(\mu,\nu)$ in $\mathbb{R}^n$. As an application, we study the mutual multifractal analysis of the projections of measures.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2017-0036
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 4 : pp. 572–592
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Mutual Hausdorff dimension mutual packing dimension mutual multifractal analysis doubling measures projection.
Author Details
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On the equivalence of multifractal measures on Moran sets
Mabrouk, Anouar
Selmi, Bilel
Filomat, Vol. 36 (2022), Iss. 10 P.3479
https://doi.org/10.2298/FIL2210479M [Citations: 1]