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arXiv · 2410.07218

Estimación de la dimensión de Hausdorff por dimensión de conteo por cajas y dimensión de información

José Luis Ponte Bejarano·Juan Carlos Ponte Bejarano·Alexis Rodriguez Carranza·Eddy Cristiam Mirando Ramos
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Abstract

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.

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José Luis Ponte Bejarano, Juan Carlos Ponte Bejarano, Alexis Rodriguez Carranza, Eddy Cristiam Mirando Ramos. 2024-09-29. Estimación de la dimensión de Hausdorff por dimensión de conteo por cajas y dimensión de información. https://arxiv.org/abs/2410.07218

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