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On the mean fractal dimensions of the Cartesian product sets.

Authors :
Liu, Yu
Selmi, Bilel
Li, Zhiming
Source :
Chaos, Solitons & Fractals. Mar2024, Vol. 180, pN.PAG-N.PAG. 1p.
Publication Year :
2024

Abstract

In this paper, we introduce the notions of the mean packing dimension and mean pseudo-packing dimension. The product formulas for the mean Hausdorff dimension, the mean packing dimension, the mean pseudo-packing dimension and the metric mean dimension are established. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FRACTAL dimensions
*HAUSDORFF measures

Details

Language :
English
ISSN :
09600779
Volume :
180
Database :
Academic Search Index
Journal :
Chaos, Solitons & Fractals
Publication Type :
Periodical
Accession number :
175524113
Full Text :
https://doi.org/10.1016/j.chaos.2024.114503
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