2004/09/27 by G. M. Molchan, G. Molchan, Molchan, G. +2
Earth and Planetary Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Statistical and numerical algorithms #earthquake and tectonic studies #physics.geo-ph
paper · pdf · doi:10.48550/arxiv.physics/0409142
11 pages with 6 figures, PDF from MS Word
arxiv created 2004/09/27 · arxiv updated 2009/12/01
Scaling analysis of seismicity in the space-time-magnitude domain very often starts from the relation N(m,L)=a(L)*10**(-bm)*L**c for the rate of seismic events of magnitude M>m in an area of size L. There are some evidences in favor of multifractal property of seismic process. In this case the choice of the scale exponent 'c' is not unique. It is shown how different 'c''s are related to different types of spatial averaging applied to lambda(m, L) and what are the 'c''s for which the distributions of a(L) best agree for small L. Theoretical analysis is supplemented with an analysis of California data for which the above issues were recently discussed on an empirical level.