Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws

A. Helmstetter, D. Sornette, J. -R. Grasso

The inverse Omori law for foreshocks discovered in the 1970s states that the rate of earthquakes prior to a mainshock increases on average as a power law ~ 1/(t_c-t)^p' of the time…