Analysis of fractal groups of the type d-(m, r)-Cantor within the framework of Kaniadakis statistics
We have used Kaniadakis statistics in the analysis of fractal structures of the type d-(m,r)-Cantor. The κ-entropy associated with these structures shows linearity with respect to the dimension L of the system and power-law type behavior with respect to the block size s used in the scanning of a det...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal do Rio Grande do Norte (UFRN) |
| Repositorio: | Repositório Institucional da UFRN |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.ufrn.br:123456789/29138 |
| Acceso en línea: | https://repositorio.ufrn.br/jspui/handle/123456789/29138 |
| Access Level: | acceso abierto |
| Palabra clave: | Generalized entropy Cantor set Non-additive statistics |
| Sumario: | We have used Kaniadakis statistics in the analysis of fractal structures of the type d-(m,r)-Cantor. The κ-entropy associated with these structures shows linearity with respect to the dimension L of the system and power-law type behavior with respect to the block size s used in the scanning of a determined sequence. The fractal dimension d f is related to the entropic parameter κ through an inverse-type law |
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