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Heterogeneity of Aftershock Productivity Along the Mainshock Ruptures and Its Advantage in Improving Short-Term Aftershock Forecast

Large earthquakes generate aftershocks, the spatiotemporal patterns of which reveal details of how the strain energy in the Earth’s crust relaxes following a main rupture. Prior research has established that aftershocks correlate with regions of low co-seismic slip – slip which occurs at the instant of an earthquake – and of increased shear stress.

Search efficiency of discrete fractional Brownian motion in a random distribution of targets

In foraging for food, biological organisms explore terrain in search of irregularly dispersed sources. Mathematically, such foraging processes can be modelled using stochastic processes, and in the simplest paradigm – Gaussian spreading generated by random walks or Brownian motion – the mean square displacement of an ensemble of moving agents grows linearly in time.