Superdifferential Analysis of the Takagi-Van Der Waerden Functions
| dc.contributor.author | Ferrera Cuesta, Juan | |
| dc.contributor.author | Gómez Gil, Javier | |
| dc.contributor.author | Llorente Márquez, Jesús | |
| dc.date.accessioned | 2023-06-16T14:19:14Z | |
| dc.date.available | 2023-06-16T14:19:14Z | |
| dc.date.issued | 2021-11-22 | |
| dc.description | CRUE-CSIC (Acuerdos Transformativos 2021) | |
| dc.description.abstract | In this work we completely describe the superdifferential of the Takagi-Van der Waerden functions and, as a consequence, the local maxima of these functions are characterized. Regarding the set of points where the superdifferential is not empty, we calculate its Hausdorff dimension as well as its corresponding Hausdorff measure. To do so, for any even integer greater than or equal to two we determine the 1/2-dimensional Hausdorff measure of the set of points where Takagi-Van der Waerden functions attain their global maximum. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/70066 | |
| dc.identifier.doi | 10.1007/s11228-021-00620-1 | |
| dc.identifier.issn | 1877-0533 | |
| dc.identifier.officialurl | https://doi.org/10.1007/s11228-021-00620-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/4668 | |
| dc.journal.title | Set-Valued and Variational Analysis | |
| dc.language.iso | eng | |
| dc.publisher | Springer Nature | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.keyword | Takagi-Van der Waerden functions | |
| dc.subject.keyword | Superdifferential | |
| dc.subject.keyword | Local maxima set | |
| dc.subject.keyword | Global maxima set | |
| dc.subject.keyword | Hausdorff dimension | |
| dc.subject.keyword | Hausdorff measure | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.ucm | Probabilidades (Matemáticas) | |
| dc.subject.ucm | Teoría de números | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.subject.unesco | 1205 Teoría de Números | |
| dc.title | Superdifferential Analysis of the Takagi-Van Der Waerden Functions | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3 | |
| relation.isAuthorOfPublication | 88621a6e-cb08-45cc-a43e-43a388119938 | |
| relation.isAuthorOfPublication.latestForDiscovery | 1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3 |
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