论文标题

关于Hewitt-Stromberg的多重分析分析的综述

A review on multifractal analysis of Hewitt-Stromberg measures

论文作者

Selmi, Bilel

论文摘要

我们估计Hewitt $ \ textbf { - } $ Stromberg尺寸的上限和下限。特别是,这些结果给出了基于Hewitt $ \ textbf { - } $ Stromberg测量的多型形式主义定理的新证明,即使在点$ q $中,上下的多fractal Multifractal Hewitt $ \ textBf { - } $ Stromberg stromberg dimension Dimension也有不同的措施。最后,开发了满足上述财产的措施的具体示例。

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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