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arXiv · 2002.00820

A review on multifractal analysis of Hewitt-Stromberg measures

Bilel Selmi
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Abstract

We estimate the upper and lower bounds of the Hewitt$\textbf{-}$Stromberg dimensions. In particular, these results give new proofs of theorems on the multifractal formalism which is based on the Hewitt$\textbf{-}$Stromberg measures and yield results even at points $q$ for which the upper and lower multifractal Hewitt$\textbf{-}$Stromberg dimension functions differ. Finally, concrete examples of a measure satisfying the above property are developed.

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Bilel Selmi. 2021-08-10. A review on multifractal analysis of Hewitt-Stromberg measures. https://doi.org/10.1007/s12220-021-00753-7

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