Work

Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions

Year: 2024

Type: article

Abstract: 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.

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2023.043

Authors: Zied Douzi, Bilel Selmi

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402810255

FWCI: 2.023

Cites:

Cited by: 3

Related to: 10