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Double power laws, fractals and self-similarity

Title
Double power laws, fractals and self-similarity
Type
Article in International Scientific Journal
Year
2014
Authors
Carla Pinto
(Author)
Other
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António Mendes Lopes
(Author)
FEUP
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Jose Tenreiro Machado
(Author)
Other
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Journal
Vol. 38 No. 23
Pages: 4019-4026
ISSN: 0307-904X
Publisher: Elsevier
Indexing
Publicação em ISI Web of Science ISI Web of Science
Scientific classification
FOS: Engineering and technology
Other information
Authenticus ID: P-009-PJ1
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 8
Documents
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