Box-counting dimension computed by α-dense curves

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Title: Box-counting dimension computed by α-dense curves
Authors: García Macías, Gonzalo | Mora, Gaspar | Redtwitz, Dennis Alexander
Research Group/s: Curvas Alpha-Densas. Análisis y Geometría Local
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas
Keywords: Box-Counting Dimension | α-Dense Curves | δ-Uniform Curves | Space-Filling Curves
Knowledge Area: Análisis Matemático
Issue Date: Oct-2017
Publisher: World Scientific
Citation: Fractals. 2017, 25(5): 1750039. doi:10.1142/S0218348X17500396
Abstract: We introduce a method to reduce to the real case the calculus of the box-counting dimension of subsets of the unit cube In, n > 1. The procedure is based on the existence of special types of α-dense curves (a generalization of the space-filling curves) in In called δ-uniform curves.
Sponsor: This work was partially supported by the grant from the Ministerio de Economía y Competitividad, Spain (MTM 2014-52865-P) to the second author.
URI: http://hdl.handle.net/10045/73431
ISSN: 0218-348X (Print) | 1793-6543 (Online)
DOI: 10.1142/S0218348X17500396
Language: eng
Type: info:eu-repo/semantics/article
Rights: © World Scientific Publishing Company
Peer Review: si
Publisher version: http://dx.doi.org/10.1142/S0218348X17500396
Appears in Collections:INV - CADAGL - Artículos de Revistas

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