2019/11/25 by Najmeddine Attia, Attia, Najmeddine
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Digital Image Processing Techniques
paper · pdf · doi:10.48550/arxiv.1911.11242
In this paper, we construct new multifractal measures, on the Euclidean space ℝn, in a similar manner to Hewitt-Stomberg measures but using the class of all n-dimensional half-open binary cubes of covering sets in the definition rather than the class of all balls. As an application we shall be concerned with evaluation of Hewitt-Stromberg dimension of cartesian product sets by means of the dimensions of their components.