Relative complexity in the multifractal domain. Study of space-time released energy distribution in the dynamics of seismic events
Entropy and complexity measures are widely used to describe phenomena with multifractal behavior. Angulo and Esquivel (2014) proposed a multifractal complexity measure based on scaling of the LMC complexity measure. Esquivel, Alonso and Angulo (2017) established a connection between two-parameter complexity measures and incremental functionals of generalized Rényi dimensions.
In this work, relative generalized Rényi dimensions are formulated. In relation to two-parameter relative complexity measures, multifractal relative complexity measures are proposed. An application to study the space-time released energy distribution of seismic data is performed.
Work supported by MINECO/FEDER grant MTM2015-70840-P.
Angulo, Esquivel (2014) Structural complexity in space-time seismic event data. Stoch. Environ. Res. Risk Assess. 28, 1187-1206.
Esquivel, Alonso, Angulo (2017) Multifractal complexity analysis in space-time based on the generalized dimensions derivatives. Spat. Stat. 22, 469-480.
Palabras clave / Keywords: complexity entropy multifractality seismic data
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