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dc.contributor.authorallLavenda, B. H.; Università di Camerino (MC), Italyen
dc.contributor.authorallCipollone, E.; National Centre for Research on Thermodynamics, ENEA-CR Casaccia, S. Maria di Galeria, Roma, Italyen
dc.description.abstractThe Gutenberg-Richter magnitude-frequency law takes into account the minimum detectable magnitude, and treats aftershocks as if they were independent and identically distributed random events. A new magnitude-frequency relation is proposed which takes into account the magnitude of the main shock, and the degree to which aftershocks depend on the main shock makes them appear clustered. In certain cases, there can be two branches in the order-statistics of aftershock sequences: for energies below threshold, the Pareto law applies and the asymptotic distribution of magnitude is the double-exponential distribution, while energies above threshold follow a one-parameter beta distribution, whose exponent is the cluster dimension, and the asymptotic Gompertz distribution predicts a maximum magnitude. The 1957 Aleutian Islands aftershock sequence exemplifies such dual behavior. A thermodynamics of aftershocks is constructed on the analogy between the non-conservation of the number of aftershocks and that of the particle number in degenerate gases.en
dc.format.extent6740804 bytesen
dc.relation.ispartofseries5/43 (2000)en
dc.subjectPareto and beta power lawsen
dc.subjectcluster dimensionen
dc.subjectfrequency-magnitude regression lawsen
dc.subjectindipendence and clusteringen
dc.subjectthermodynamics of aftershocksen
dc.titleExtreme value statistics and thermodynamics of earthquakes: aftershock sequencesen
dc.subject.INGV04. Solid Earth::04.06. Seismology::04.06.10. Instruments and techniquesen
dc.description.journalTypeJCR Journalen
dc.contributor.authorLavenda, B. H.en
dc.contributor.authorCipollone, E.en
dc.contributor.departmentUniversità di Camerino (MC), Italyen
dc.contributor.departmentNational Centre for Research on Thermodynamics, ENEA-CR Casaccia, S. Maria di Galeria, Roma, Italyen
item.fulltextWith Fulltext-
crisitem.classification.parent04. Solid Earth-à di Camerino (MC), Italy- Centre for Research on Thermodynamics, ENEA-CR Casaccia, S. Maria di Galeria, Roma, Italy-
Appears in Collections:Annals of Geophysics
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