Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-04-09
PRL, 138501 (2004)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.92.138501
Time series are characterized by complex memory and/or distribution patterns. In this letter we show that models obeying to different statistics may equally reproduce some pattern of a time series. In particular we discuss the difference between L\'evy-walk and fractal Gaussian intermittent signals and show that the adoption of complementary scaling analysis techniques may be useful to distinguish the two cases. Finally, we apply this methodology to the earthquake occurrences in California and suggest the possibility that earthquake occurrences are described by a \textit{colored} (= `long-range correlated') Generalized Poisson model.
Scafetta Nicola
West Bruce J.
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