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On the projections of the multifractal packing dimension for q>1
- Source :
- Annali di Matematica Pura ed Applicata 2019
- Publication Year :
- 2019
-
Abstract
- The aim of this article is to study the behaviour of the multifractal packing function $B_\mu(q)$ under projections in Euclidean space for $q>1$. We show that $B_\mu(q)$ is preserved under almost every orthogonal projection. As an application, we study the multifractal analysis of the projections of a measure. In particular, we obtain general results for the multifractal analysis of the orthogonal projections on $m$-dimensional linear subspaces of a measure $\mu$ satisfying the multifractal formalism.
- Subjects :
- Mathematics - Metric Geometry
28A20, 28A80
Subjects
Details
- Database :
- arXiv
- Journal :
- Annali di Matematica Pura ed Applicata 2019
- Publication Type :
- Report
- Accession number :
- edsarx.1901.03834
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10231-019-00929-7