On the projections of mutual multifractal spectra
| Autor: | Douzi, Zied, Selmi, Bilel |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Journal of Classical Analysis, 2021 |
| Druh dokumentu: | Working Paper |
| Popis: | The aim of this article is to study the behaviour of the relative multifractal spectrum under projections. First of all, we depict a relationship between the mutual multifractal spectra of a couple of measures $(\mu, \nu)$ and its orthogonal projections in Euclidean space. As an application, we improve Svetova's result (Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 11 (2004), 41-46) and study the mutual multifractal analysis of the projections of measures. |
| Databáze: | arXiv |
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