The fractal description of seismicity

SUMMARY The stable estimation of multifractal characteristics of seismicity is considered. The data are world and accessible regional catalogues of m ≥ 2–4 events. Our attention is focused on the range of scales in which the Renyi functionals admit of scale‐invariant behaviour. We find that the stable fractal analysis of hypocentres is generally difficult. As to epicentres, we have carried out a stable analysis for seven regions worldwide in the range of scales 1–1.7 decades. The estimates of generalized dimensions admit of tectonic interpretation.