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

AMA Style

Angulo JM, Esquivel FJ. Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information. Entropy. 2015; 17(8):5382-5401. https://doi.org/10.3390/e17085382

Chicago/Turabian Style

Angulo, José M.; Esquivel, Francisco J. 2015. "Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information" Entropy 17, no. 8: 5382-5401. https://doi.org/10.3390/e17085382

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