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Power-laws and applications to earthquake populations (1996)

Parsa, A. Rahulji ; Murty, Gurajada Suryanarayana

Springer

Pure and applied geophysics 147 (1996), S. 455-466

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ISSN: 1420-9136

Keywords: Pure population ; rooted trees ; power laws

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Physics

Notes: Abstract In this paper we study the rooted tree model applying the concepts of probability to obtain results of importance in understanding power-law distributions in pure populations and also in an ensemble of pure populations. The well-known Gutenberg-Richter relation, which is an empirical relation providing the number of earthquakes whose magnitude exceeds a given value, is shown to be an asymptotic form of survivor function of earthquake magnitudes. The implications of this model are briefly discussed in relation to other branches of sciences where power-law distributions are encountered.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00878838

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