Journal : Acta Geophysica
Article : Aftershocks in modern perspectives: Complex earthquake network, aging, and non-Markovianity

Authors :
Vallianatos, F.
Technological Educational Institute of Crete, Laboratory of Geophysics and Seismology, Crete, Greece, fvallian@chania.teicrete.gr,
Tsallis, C.
Centro Brasileiro de Pesquisas Fisicas and National Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil, tsallis@cbpf.br,
Sotolongo-Costa, O.
Catedra de Sistemas Complejos “Henri Poincare”, Universidad de La Habana, osotolongo@fisica.uh.cu,
Celikoglu, A.
Department of Physics, Faculty of Science, Ege University, Izmir, Turkey, ahmet.celikoglu@ege.edu.tr,
Abe, S.
Department of Physical Engineering, Mie University, Mie, Japan, suabe@sf6.so-net.ne.jp,
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 that 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 longrange memory in processes of aftershocks.

Keywords : aftershocks, complex earthquake networks, aiging, glassy dynamics, non-Markovian singular point processes,
Publishing house : Instytut Geofizyki PAN
Publication date : 2012
Number : Vol. 60, no. 3
Page : 547 – 561

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DOI :
Qute : Vallianatos, F. ,Tsallis, C. ,Sotolongo-Costa, O. ,Celikoglu, A. ,Abe, S. ,Abe, S. , Aftershocks in modern perspectives: Complex earthquake network, aging, and non-Markovianity. Acta Geophysica Vol. 60, no. 3/2012
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