Violation of the scaling relation and non-Markovian nature of earthquake aftershocks

Abstract

The statistical properties of earthquake aftershocks are studied. The scaling relation for the exponents of the Omori law and the power-law calm time distribution (i.e., the interoccurrence time distribution), which is valid if a sequence of aftershocks is a singular Markovian process, is carefully examined. Data analysis shows significant violation of the scaling relation, implying the non-Markovian nature of aftershocks.

11 pages, 2 figures, 1 table. Dedicated to Francois Bardou (1968-2006)

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