Bilel Selmi

TL;DR: In this paper, the relative multifractal spectra of orthogonal projections of a measure in Euclidean space and those of the measure in the orthogonality space were analyzed.

TL;DR: In this article, the density results related to the multifractal generalization of the centered Hausdorff and packing measures were established and applied to a class of Moran sets satisfying the strong separation condition.

TL;DR: In this paper, the authors defined the upper and lower parameters of the relative multifractal box-dimensions of the measure μ with respect to the measure ν, and investigated the relationship between the multifractual============ rectangle dimension and Hausdorff dimension.

TL;DR: In this article, a decomposition theorem of Besicovitch's type for the relative multifractal Hausdorff measure and packing measure in a probability space was proved, which is more refined than those found in Dai and Taylor (defining fractal in a probabilistic space).