Physical Review Letters · 2005 · 111 citations · 18 references
Natural SciencesEarth SciencesGeophysicsEarthquake PhysicsSeismologyTime Series AnalysisAftershock PhysicsAftershock SequencesEarthquake Scaling LawsPoisson ProcessesAftershock Decay LawsAftershock Scaling LawsAftershock Sequence DecayAftershock Sequence Scaling LawsInterevent Time AnalysisNonhomogeneous Poisson ProcessesOmori's LawStatistical Models Of Aftershock Sequences
In this work the distribution of interoccurrence times between earthquakes in aftershock sequences is analyzed and a model based on a nonhomogeneous 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 interoccurrence times is applied to several major aftershock sequences in California to confirm the validity of the proposed hypothesis.
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Seismicity of the Earth and Associated Phenomena
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The Centenary of the Omori Formula for a Decay Law of Aftershock Activity.
Tokuji Utsu, Yosihiko Ogata, S Ritsuko et al. · Journal of Physics of the Earth · 1995 · 1.4K citations · Full text
Asymptotics and Special Functions
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Unified Scaling Law for Earthquakes
Per Bak, Kim Christensen, León Danon et al. · Physical Review Letters · 2002 · 714 citations · Full text