@misc{10481/38028,
year = {2015},
url = {http://hdl.handle.net/10481/38028},
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.},
organization = {This work has been partially supported by the grant MTM2012-32666 of the Spanish Ministry of Economy and Competitiveness (co-financed by FEDER).},
publisher = {MDPI},
keywords = {Complex system},
keywords = {Generalized dimensions},
keywords = {Multifractality},
keywords = {Non-extensivity},
keywords = {Seismicity},
keywords = {Space-time dynamics},
keywords = {Tsallis entropy},
title = {Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information},
doi = {10.3390/e17085382},
author = {Angulo Ibáñez, José Miguel and Esquivel Sánchez, Francisco Javier},
}