@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} }