Universal Relation Between Skewness and Kurtosis in Complex Dynamics

  • Matthieu Cristelli
Part of the Springer Theses book series (Springer Theses)


In this chapter we discuss the work presented in the paper—Cristelli et al., Phys. Rev. E, 85, 066108, 2012, where we identify an important correlation between skewness and kurtosis for a broad class of complex dynamics and present a specific analysis of earthquake and financial time series. We highlight that two regimes of non Gaussianity can be identified: a parabolic one, which is common in various fields of physics, and a power law one, with exponent 4/3, which, at the moment, appears to be specific of earthquakes and financial markets.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.ISC-CNR, Istituto dei Sistemi Complessi, Department of Physics, “Sapienza”Università di RomaRomeItaly

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