Relative complexity in the multifractal domain. Study of space-time released energy distribution in the dynamics of seismic events
F. J. Esquivel Sánchez, F. J. Alonso Morales, J. M. Angulo Ibáñez
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
Programado
Sesión V08 Estadística Espacial y Espacio-Temporal II
1 de junio de 2018 17:20
Sala 1
Otros trabajos en la misma sesión
U. Pérez Goya, A. Fernández Militino, M. D. Ugarte Martínez
J. L. Romero Béjar, J. M. Angulo Ibáñez
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