Continuous Time Random Walks and South Spain Seismic Series

Details Continuous Time Random Walks and South Spain Seismic Series Continuous Time Random Walks and South Spain Seismic Series

2002-05-27

arxiv.org/abs/cond-mat/0205563v1

Journal of Seismology, 2002, 6, 61-67

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1023/A:1014203530032

Levy flights were introduced through the mathematical research of the algebra or random variables with infinite moments. Mandelbrot recognized that the Levy flight prescription had a deep connection to scale-invariant fractal random walk trajectories. The theory of Continuous Time Random Walks (CTRW) can be described in terms of Levy distribution functions and it can be used to explain some earthquake characteristics like the distribution of waiting times and hypocenter locations in a seismic region. This paper checks the validity of this assumption analyzing three seismic series localized in South Spain. The three seismic series (Alboran, Antequera and Loja) show qualitatively the same behavior, although there are quantitative differences between them.

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