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| Titel |
Generalized Cantor sets and seismicity in natural time |
| VerfasserIn |
N. V. Sarlis, E. S. Skordas, M. S. Lazaridou, P. A. Varotsos |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250044698
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| Zusammenfassung |
| It has been demonstrated that[1] natural time Ï [2,3] has the capability to distinguish the two
origins of self-similarity, i.e., the process memory and the process increments infinite
variance. Seismicity is an example[1] that exhibits both these origins. Moreover, the variance
κ1(-¡ -¨Ï2-©- -¨Ï-©2) of natural time has been proposed[4] as an order parameter
for seismicity. The scaled distributions of κ1 of the worldwide seismicity as well
as that of San Andreas fault system and Japan fall on the same (universal) curve,
which exhibits, over almost five orders of magnitude, features similar[4] to those in
other non-equilibrium critical systems (e.g., three dimensional turbulent flow). The
effect of the process increments infinite variance in seismicity can be visualized by
employing generalized Cantor sets (multiplicative cascades) in natural time: the most
probable value of the variance κ1 is explicitly related with the parameter bof the
Gutenberg-Richter law for randomly shuffled earthquake data[5]. In addition, the
presence of temporal and magnitude correlations in the original earthquake data
can also be identified using natural time[5]. The magnitude correlations are larger
for closer in time earthquakes, if the maximum inter-occurrence time varies from
half a day to 1 min. This result, since may be due to aftershock sequences that
are always present in earthquake catalogues, may be useful for aftershock hazard
assessment.
REFERENCES
[1] P.A. Varotsos, N.V. Sarlis, E.S. Skordas, H.K. Tanaka, and M.S. Lazaridou, Phys. Rev.
E 74, 021123 (2006).
[2] P. A. Varotsos, N. V. Sarlis, and E. S. Skordas, Practica of Athens Academy 76, 294
(2001).
[3] P. A. Varotsos, N. V. Sarlis, and E. S. Skordas, Phys. Rev. E 66, 011902 (2002).
[4] P. A. Varotsos, N. V. Sarlis, H. K. Tanaka, and E. S. Skordas, Phys. Rev. E 72, 041103
(2005).
[5] N. V. Sarlis, E. S. Skordas, and P. A. Varotsos, Phys. Rev. E 80, 022102 (2009). |
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