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Calculating hausdorff dimension in higher dimensional spaces
dc.contributor.author | Fernández Martínez, Manuel | |
dc.contributor.author | García Guirao, Juan Luis | |
dc.contributor.author | Sánchez Granero, Miguel Ángel | |
dc.date.accessioned | 2021-07-15T08:10:58Z | |
dc.date.available | 2021-07-15T08:10:58Z | |
dc.date.issued | 2019-04-18 | |
dc.identifier.citation | Fernández-Martínez M, García Guirao JL, Sánchez-Granero MÁ. Calculating Hausdorff Dimension in Higher Dimensional Spaces. Symmetry. 2019; 11(4):564. https://doi.org/10.3390/sym11040564 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.description.abstract | 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. | es_ES |
dc.description.sponsorship | This research received no external funding. | es_ES |
dc.format | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation.uri | https://www.mdpi.com/2073-8994/11/4/564 | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.title | Calculating hausdorff dimension in higher dimensional spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.subject | Hausdorff dimension | es_ES |
dc.subject | Fractal structure | es_ES |
dc.subject | Space-filling curve | es_ES |
dc.identifier.uri | http://hdl.handle.net/10317/9643 | |
dc.peerreview | Si | es_ES |
dc.identifier.doi | 10.3390/sym11040564 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.subject.unesco | 33 Ciencias Tecnológicas | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
dc.contributor.conveniante | Universidad Politécnica de Cartagena | es_ES |
dc.contributor.conveniante | Universidad de Almería | es_ES |
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