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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.
- 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]
- Subjects :
- *HAUSDORFF measures
*PROBABILITY measures
Subjects
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