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arXiv · 2410.07218

Estimaci\'on de la dimensi\'on de Hausdorff por dimensi\'on de conteo por cajas y dimensi\'on de informaci\'on

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. Estimaci\'on de la dimensi\'on de Hausdorff por dimensi\'on de conteo por cajas y dimensi\'on de informaci\'on. https://arxiv.org/abs/2410.07218

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