Affiliation:
1. Faculté des Sciences de Monastir, Département de Mathématiques, Monastir, Tunisia
Abstract
Given two probability measures ? and ? on Rn. We define the upper and lower
relative multifractal box-dimensions of the measure ? with respect to the
measure ? and investigate the relationship between the multifractal
box-dimensions and the relative multifractal Hausdorff dimension, the
relative multifractal pre-packing dimension. We also, calculate the relative
multifractal spectrum and establish the validity of multifractal formalism.
As an application, we study the behavior of projections of measures obeying
to the relative multifractal formalism.
Publisher
National Library of Serbia
Cited by
23 articles.
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