2016
DOI: 10.1016/j.chaos.2015.10.032
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Abstract: Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties. Additionally, fractal structures provide an appropriate topological context where new models of fractal dimension for a fractal structure could be developed in order to generalize the classical … Show more

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Cited by 16 publications
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“…Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. The (lower/upper) box dimension for any subset F ⊆ Rd is given by the following (lower/upper) limit: where N δ ( F ) is the number of δ -cubes that intersect F [ 27 ].…”
Section: Experimental Results and Analysismentioning
confidence: 99%
“…Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. The (lower/upper) box dimension for any subset F ⊆ Rd is given by the following (lower/upper) limit: where N δ ( F ) is the number of δ -cubes that intersect F [ 27 ].…”
Section: Experimental Results and Analysismentioning
confidence: 99%