Double power laws, fractals and self-similarity

Pinto, Carla M.A.; Lopes, A. Mendes; Machado, J.A.Tenreiro

http://hdl.handle.net/10400.22/6922

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Authors

Pinto, Carla M.A.

Lopes, A. Mendes

Machado, J.A.Tenreiro

Abstract(s)

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.