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A model for the distribution of aftershock waiting times

Robert Shcherbakov, Gleb Yakovlev, Donald L. Turcotte, John B. Rundle

physics.geo-pharXiv:physics/0508050

Abstract

In this work the distribution of inter-occurrence times between earthquakes in aftershock sequences is analyzed and a model based on a non-homogeneous Poisson (NHP) process is proposed to quantify the observed scaling. In this model the generalized Omori's law for the decay of aftershocks is used as a time-dependent rate in the NHP process. The analytically derived distribution of inter-occurrence times is applied to several major aftershock sequences in California to confirm the validity of the proposed hypothesis.

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