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Superstatistics, complexity and earthquakes: a brief review and application on Hellenic seismicity

A. Iliopoulos, D. Chorozoglou, C. Kourouklas, O. Mangira and E. Papadimitriou


A short overview on superstatistics applied in various complex systems is firstly provided by roughly outlining the methodology, including the deduction of superstatistical parameters from time series and the characterisation of the complex system as a special type of superstatistics. Applications of superstatistics on various physical systems are reported and originally performed on Greek seismicity. The application of the superstatistical methodology, investigating the dynamics of seismogenesis in Greece, revealed the complex turbulent nature of the earthquake data. The verification of the superstatistical hypothesis strongly depends on the parameter used for differencing. In the case the hypothesis is verified the results evidence log-normal superstatistics, otherwise the results indicate either Gaussian distributed random variables of constant variance with outliers or Tsallis qstat-Gaussian variables with constant variance.