Multifractal dimensions for projections of measures

Bilel Selmi

doi:10.5269/bspm.44913

Bilel Selmi Faculty of Sciences of Monastir

Abstract

In this paper, we calculate the multifractal Hausdorff and packing dimensions of Borel probability measures and study their behaviors under orthogonal projections. In particular, we try through these results to improve the main result of M. Dai in \cite{D} about the multifractal analysis of a measure of multifractal exact dimension.

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