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On the multifractal measures and dimensions of image measures on a class of Moran sets.

On the multifractal measures and dimensions of image measures on a class of Moran sets.

Authors :
Attia, Najmeddine
Selmi, Bilel
Source :
Chaos, Solitons & Fractals. Sep2023, Vol. 174, pN.PAG-N.PAG. 1p.
Publication Year :
2023

Abstract

On a Moran set meeting the strong separation requirement, we examine a family of multifractal Hausdorff and packing measures and dimensions in this study. Let φ ∗ π be the image measure of ergodic Borel probability measure π and measurable function φ. Entropy is used to calculate the formula for the dimension of the multifractal measure of φ ∗ π. Moreover, some statistical interpretations, on a class of Moran sets, of the dimensions and corresponding geometrical measures are also supported. Finally, a specific illustration of a measure that satisfies the aforementioned criteria is created. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09600779
Volume :
174
Database :
Academic Search Index
Journal :
Chaos, Solitons & Fractals
Publication Type :
Periodical
Accession number :
171311975
Full Text :
https://doi.org/10.1016/j.chaos.2023.113818