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Euler's transform and a generalized Omori's law

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
351
Issue
3
Identifiers
DOI: 10.1016/j.physleta.2005.10.082
Keywords
  • Nonlinear Science

Abstract

Abstract The self-replication process of the statistical events generated by an original, main event and described by a finite distribution leads to a generalized Omori distribution singular at origin. The two distributions are related to each other by Euler's transform. The self-consistency of the generating process requires an exponential law for the finite distribution, which gives rise to the original Omori's law associated to the seismic activity accompanying a major earthquake.

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