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Double power laws, fractals and self-similarity

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Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

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Palavras-chave

Double power laws PL coefficient Fractals Correlation dimension

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Elsevier

Licença CC

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