Estimación de la dimensión de Hausdorff por dimensión de conteo por cajas y dimensión de información
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909344080068608 |
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| author | Bejarano, José Luis Ponte Bejarano, Juan Carlos Ponte Carranza, Alexis Rodriguez Ramos, Eddy Cristiam Mirando |
| author_facet | Bejarano, José Luis Ponte Bejarano, Juan Carlos Ponte Carranza, Alexis Rodriguez Ramos, Eddy Cristiam Mirando |
| contents | In this article, the Hausdorff dimension is estimated using the box-counting dimension and the information dimension. It is shown that the former is an upper bound for the Hausdorff dimension, while the latter is a lower bound for the box-counting dimension, and that the information dimension is an upper bound for the Hausdorff dimension. Additionally, the dimension of the Henon attractor is estimated using the box-counting dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimación de la dimensión de Hausdorff por dimensión de conteo por cajas y dimensión de información Bejarano, José Luis Ponte Bejarano, Juan Carlos Ponte Carranza, Alexis Rodriguez Ramos, Eddy Cristiam Mirando General Mathematics In this article, the Hausdorff dimension is estimated using the box-counting dimension and the information dimension. It is shown that the former is an upper bound for the Hausdorff dimension, while the latter is a lower bound for the box-counting dimension, and that the information dimension is an upper bound for the Hausdorff dimension. Additionally, the dimension of the Henon attractor is estimated using the box-counting dimension. |
| title | Estimación de la dimensión de Hausdorff por dimensión de conteo por cajas y dimensión de información |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2410.07218 |