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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Detalles Bibliográficos
Autores principales: Fernández Martínez, Manuel, García Guirao, Juan Luis, Sánchez Granero, Miguel Ángel
Formato: info:eu-repo/semantics/article
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:http://hdl.handle.net/10835/7577