  A review of the statistical properties of earthquakes is provided, centered
mainly in the work of the author (apologies for that). We explain the scaling
law for the recurrence-time distributions, its universal character for
stationary seismicity and for Omori sequences, the counterintuitive phenomenon
of decreasing hazard with time and the increasing of the expected residual
recurrence time, the relation of the scaling law with a renormalization-group
transformation, and the correlations between recurrence times and magnitudes.
Finally, the connections with Bak et al.'s unified scaling law are analyzed.
