Dimension functions of Cantor sets
We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84345 |
| Acceso en línea: | http://hdl.handle.net/11336/84345 |
| Access Level: | acceso abierto |
| Palabra clave: | CANTOR SETS DIMENSION FUNCTION HAUSDORFF DIMENSION PACKING MEASURE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets. |
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