Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous

Zuberman, Leandro

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Publication date

June 2019

DOI

10.1016/j.jmaa.2019.01.036

Publisher

Elsevier BV

Journal

Journal of Mathematical Analysis and Applications

Abstract

We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self similar or homogeneous. The calculation is based on the local behavior of the natural probability measure supported on the sets.Fil: Zuberman, Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentin

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Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous

Abstract

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Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous

Abstract

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