Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions
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.
Authors
- Bilel Selmi (ORCID: https://orcid.org/0000-0001-8823-6699)
- Zied Douzi (ORCID: https://orcid.org/0000-0003-3108-8511)
Publication Details
- Journal
- Topological Methods in Nonlinear Analysis
- Published
- 2024-09-15
- DOI
- https://doi.org/10.12775/tmna.2023.043
- Citations
- 1
- Primary Topic
- Complex Systems and Time Series Analysis
- Type
- article
- Field-Weighted Citation Impact
- 1.13