@article{epos1504,
          volume = {26},
          number = {13},
           month = {July},
          author = {Anne Sornette and Didier Sornette},
           title = {Renormalization of earthquake aftershocks},
       publisher = {American Geophysical Union},
            year = {1999},
         journal = {Geophysical Research Letters},
           pages = {1981--1984},
             url = {https://episodesplatform.eu/eprints/1504/},
        abstract = {Assume that each earthquake can produce a series of aftershock independently of its size according to its ?local? Omori's law with exponent 1 + {\ensuremath{\theta}}. Each aftershock can itself trigger other aftershocks and so on. The global observable Omori's law is found to have two distinct power law regimes, the first one with exponent p? = 1-{\ensuremath{\theta}} for time t {\ensuremath{<}} t* {$\sim$} {\ensuremath{\kappa}}{\^{ }}(?1/{\ensuremath{\theta}}), where 0 {\ensuremath{<}} 1 ? {\ensuremath{\kappa}} {\ensuremath{<}} 1 measures the fraction of triggered earthquakes per triggering earthquake, and the second one with exponent p+ = 1 + {\ensuremath{\theta}} for larger times. The existence of these two regimes rationalizes the observation of Kisslinger and Jones [1991] that the exponent p seems positively correlated to the surface heat flow: a higher heat flow is a signature of a higher crustal temperature, which leads to larger strain relaxation by creep, corresponding to fewer events triggered per earthquake, i.e. to a larger {\ensuremath{\kappa}}, and thus to a smaller t*, leading to an effective measured exponent more heavily weighted toward p+ {\ensuremath{>}} 1.}
}