On the mean fractal dimensions of the Cartesian product sets

Yu Liu, Bilel Selmi and Zhiming Li

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

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.

Keywords: Cartesian product sets; Fractal mean dimensions; Pseudo-packing measure; Hausdorff and packing measures (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000547

DOI: 10.1016/j.chaos.2024.114503

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