TY - JOUR 
A1 - Fernández Martínez, Manuel
AU - García Guirao, Juan Luis
AU - Sánchez Granero, Miguel Ángel
T1 - Calculating hausdorff dimension in higher dimensional spaces
Y1 - 2019
SN - 2073-8994
UR - http://hdl.handle.net/10317/9643
AB - In this paper, we prove the identity Hausdorff dimension, FRdand :[0,1][0,1]din a more general setting. Thus, Hausdorff dimension of higher dimensional subsets can be calculated from Hausdorff dimension of 1-dimensional subsets of [0,1]. As a consequence, Hausdorff dimension becomes available to deal with the effective calculation of the fractal dimension in applications by applying a procedure contributed by the authors in previous works. It is also worth pointing out that our results generalize both Skubalska-Rafajowicz and Garcia-Mora-Redtwitz theorems.
KW - Matemática Aplicada
KW - Hausdorff dimension
KW - Fractal structure
KW - Space-filling curve
KW - 33 Ciencias Tecnológicas
KW - 12 Matemáticas
LA - eng
PB - MDPI
ER -