Calculating Hausdorff Dimension in Higher Dimensional Spaces

Calculating Hausdorff Dimension in Higher Dimensional Spaces

In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension, F⊆Rd , and α:[0,1]→[0,1]d is a function whose constructive definition is addressed from the viewpoint of the powerful concept of a fractal structure. Such a result stands particularly from some othe...

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Bibliografiske detaljer
Main Authors:	Fernández Martínez, Manuel, García Guirao, Juan Luis, Sánchez Granero, Miguel Ángel
Format:	info:eu-repo/semantics/article
Sprog:	English
Udgivet:	MDPI 2020
Fag:	Hausdorff dimension fractal structure space-filling curve
Online adgang:	http://hdl.handle.net/10835/7577

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