Aftershocks in Modern Perspectives: Complex Earthquake Network, Aging, and Non-Markovianity

Abstract

The phenomenon of aftershocks is studied in view of science of complexity. In particular, three different concepts are examined: (i) the complex-network representation of seismicity, (ii) the event-event correlations, and (iii) the effects of long-range memory. Regarding (i), it is shown the clustering coefficient of the complex earthquake network exhibits a peculiar behavior at and after main shocks. Regarding (ii), it is found that aftershocks experience aging, and the associated scaling holds. And regarding (iii), the scaling relation to be satisfied by a class of singular Markovian processes is violated, implying the existence of the long-range memory in processes of aftershocks.

28 pages, 6 figures and 1 table. Acta Geophysica, in press

References in corpus (6)

• Complex earthquake networks: Hierarchical organization and assortative mixing
• Dynamical evolution of clustering in complex network of earthquakes
• Finite data-size scaling of clustering in earthquake networks
• Determination of the scale of coarse graining in earthquake network
• Violation of the scaling relation and non-Markovian nature of earthquake aftershocks
• Scaling relation for earthquake networks

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