Dynamical scaling in branching models for seismicity.

@article{Lippiello2007DynamicalSI,
  title={Dynamical scaling in branching models for seismicity.},
  author={Eugenio Lippiello and Cataldo Godano and L. de Arcangelis},
  journal={Physical review letters},
  year={2007},
  volume={98 9},
  pages={098501}
}
We propose a branching process based on a dynamical scaling hypothesis relating time and mass. In the context of earthquake occurrence, we show that experimental power laws in size and time distribution naturally originate solely from this scaling hypothesis. We present a numerical protocol able to generate a synthetic catalog with an arbitrary large number of events. The numerical data reproduce the hierarchical organization in time and magnitude of experimental interevent time distribution. 

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