Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions
DOI:
https://doi.org/10.12775/TMNA.2023.043Keywords
Multifractal analysis, classical multifractal formalism, Hewitt-Stromberg measures, general Hausdorff dimension, generalcpacking dimensioncAbstract
This study provides a general multifractal formalism that overcomes the limitations of the traditional one. The generic Hewitt-Stromberg measures are used to introduce and study a multifractal formalism. The generic Hewitt-Stromberg dimensions' upper and lower bounds are estimated, producing results even at places $q$ where the upper and lower multifractal Hewitt-Stromberg dimension functions diverge.References
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