Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket
| dc.contributor.author | Mera Rivas, María Eugenia | |
| dc.contributor.author | Morán Cabré, Manuel | |
| dc.date.accessioned | 2024-01-25T09:27:16Z | |
| dc.date.available | 2024-01-25T09:27:16Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We compute the centred Hausdorff measure, Cs(P) ∼ 2.44, and the packing measure, Ps(P) ∼ 6.77, of the penta-Sierpinski gasket, P, with explicit error bounds. We also compute the full spectra of asymptotic spherical densities of these measures in P, which, in contrast with that of the Sierpinski gasket, consists of a unique interval. These results allow us to compute the irregularity index of P, I(P) ∼ 0.6398, which we define for any self-similar set E with open set condition as I(E) = 1 − (Cs(E)/Ps(E)) . | eng |
| dc.description.department | Depto. de Análisis Económico y Economía Cuantitativa | |
| dc.description.faculty | Fac. de Ciencias Económicas y Empresariales | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Universidad Complutense de Madrid | |
| dc.description.sponsorship | Banco Santander | |
| dc.description.status | pub | |
| dc.identifier.citation | Mera, M.E., Morán, M. Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket. Mediterr. J. Math. 20, 322 (2023). https://doi.org/10.1007/s00009-023-02528-6 | |
| dc.identifier.doi | 10.1007/s00009-023-02528-6 | |
| dc.identifier.essn | 1660-5454 | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.officialurl | https://www.doi.org/10.1007/s00009-023-02528-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/95294 | |
| dc.journal.title | Mediterranean journal of mathematics | |
| dc.language.iso | eng | |
| dc.page.initial | 322 | |
| dc.publisher | Springer Nature | |
| dc.relation.projectID | (PR108/20-14) | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | en |
| dc.rights.accessRights | restricted access | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.cdu | 5 | |
| dc.subject.keyword | Self-similar sets | |
| dc.subject.keyword | Penta-Sierpinski gasket | |
| dc.subject.keyword | Packing measure | |
| dc.subject.keyword | Centred Hausdorff measure | |
| dc.subject.keyword | Density of measures | |
| dc.subject.keyword | Asymptotic spectrum | |
| dc.subject.keyword | Computability in fractal geometry | |
| dc.subject.ucm | Ciencias | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Geometría | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1206 Análisis Numérico | |
| dc.title | Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket | |
| dc.title.alternative | Indice de irregularidad y densidades esféricas de la penta alfombra de Sierpinski | |
| dc.type | journal article | |
| dc.type.hasVersion | VoR | |
| dc.volume.number | 20 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 71245121-5334-43ae-92e3-eb84a42790e8 | |
| relation.isAuthorOfPublication | 36e295dc-70b7-4ede-868c-a83357a04413 | |
| relation.isAuthorOfPublication.latestForDiscovery | 71245121-5334-43ae-92e3-eb84a42790e8 |
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