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arXiv · 1812.09780

A multifractal formalism for Hewitt-Stromberg measures

Najmeddine Attia·Bilel Selmi
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Abstract

In the present work, we give a new {\it multifractal formalism} for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to Olsen's multifractal formalism which based on the Hausdorff and packing measures.

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Najmeddine Attia, Bilel Selmi. 2019-10-08. A multifractal formalism for Hewitt-Stromberg measures. https://doi.org/10.1007/s12220-019-00302-3

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