The fractal description of seismicity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Fractals And Multifractals, Seismicity And Tectonics, Statistical Seismology

Scientific paper

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.

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