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
