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

2019; Elsevier BV; Volume: 474; Issue: 1 Linguagem: Inglês

10.1016/j.jmaa.2019.01.036

ISSN

1096-0813

Autores

Leandro Zuberman,

Tópico(s)

Advanced Topology and Set Theory

Resumo

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.

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