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Volume 37, Issue 4
On the Projections of the Mutual Multifractal Rényi Dimensions

Zied Douzi & Bilel Selmi

DOI: 10.4208/ata.OA-2017-0036

Anal. Theory Appl., 37 (2021), pp. 572-592.

Published online: 2021-11

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  • 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.

  • Keywords

Mutual Hausdorff dimension, mutual packing dimension, mutual multifractal analysis, doubling measures, projection.

  • AMS Subject Headings

28A20, 28A80

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

bilel.selmi@fsm.rnu.tn (Bilel Selmi)

  • BibTex
  • RIS
  • TXT
@Article{ATA-37-572, author = {Douzi , Zied and Selmi , Bilel}, title = {On the Projections of the Mutual Multifractal Rényi Dimensions}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0036}, url = {http://global-sci.org/intro/article_detail/ata/19965.html} }
TY - JOUR T1 - On the Projections of the Mutual Multifractal Rényi Dimensions AU - Douzi , Zied AU - Selmi , Bilel JO - Analysis in Theory and Applications VL - 4 SP - 572 EP - 592 PY - 2021 DA - 2021/11 SN - 37 DO - http://doi.org/10.4208/ata.OA-2017-0036 UR - https://global-sci.org/intro/article_detail/ata/19965.html KW - Mutual Hausdorff dimension, mutual packing dimension, mutual multifractal analysis, doubling measures, projection. AB -

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.

Douzi , Zied and Selmi , Bilel. (2021). On the Projections of the Mutual Multifractal Rényi Dimensions. Analysis in Theory and Applications. 37 (4). 572-592. doi:10.4208/ata.OA-2017-0036
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