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On the Projections of the Mutual Multifractal Rényi Dimensions

On the Projections of the Mutual Multifractal Rényi Dimensions

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

Zied Douzi

Bilel Selmi

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