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Entropy 2015, 17(8), 5382-5401; doi:10.3390/e17085382

Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information

Department of Statistics and Operations Research, University of Granada, Campus Fuente Nueva s/n, E-18071, Granada, Spain
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Academic Editor: Hwa-Lung Yu
Received: 5 June 2015 / Revised: 13 July 2015 / Accepted: 17 July 2015 / Published: 29 July 2015
(This article belongs to the Special Issue Entropy and Space-Time Analysis in Environment and Health)
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Abstract

Entropy-based tools are commonly used to describe the dynamics of complex systems. In the last few decades, non-extensive statistics, based on Tsallis entropy, and multifractal techniques have shown to be useful to characterize long-range interaction and scaling behavior. In this paper, an approach based on generalized Tsallis dimensions is used for the formulation of mutual-information-related dependence coefficients in the multifractal domain. Different versions according to the normalizing factor, as well as to the inclusion of the non-extensivity correction term are considered and discussed. An application to the assessment of dimensional interaction in the structural dynamics of a seismic real series is carried out to illustrate the usefulness and comparative performance of the measures introduced. View Full-Text
Keywords: complex system; generalized dimensions; multifractality; non-extensivity; seismicity; space-time dynamics; Tsallis entropy complex system; generalized dimensions; multifractality; non-extensivity; seismicity; space-time dynamics; Tsallis entropy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Angulo, J.M.; Esquivel, F.J. Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information. Entropy 2015, 17, 5382-5401.

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