Physics
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pepi...32..160m&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 32, Issue 2, p. 160-167.
Physics
5
Scientific paper
Closed expressions are derived for Otsuka's enumeration of rooted trees with an arbitrary but constant number of branches at each node. The generating function for these numbers is defined and used to deduce survivor functions for such trees. Under the hypothesis that the number of nodes in a tree is a measure of signal, the observed empirical relation between earthquake frequency and magnitude (and also the distribution of acoustic-emission amplitudes) can be explained. A comparison is made between this theory and Koyna tremor amplitudes observed at Gauribidanur. The model accounts for the observed deviations from the well-known Gutenberg-Richter distribution without introducing any ad hoc assumption of a cut-off magnitude.
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