Characterization of intermittency in renewal processes: Application to earthquakes
Characterization of intermittency in renewal processes: Application to earthquakes
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DOI：
10.1103/physreve.81.031133
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发表时间：
2010-03-01
影响因子：
2.4
通讯作者：
Aizawa, Yoji
中科院分区：
文献类型：
--
作者：
Akimoto, Takuma;Hasumi, Tomohiro;Aizawa, Yoji
对于给定的更新过程，我们从事件间隔时间分布构造了一维分段线性间歇映射。然后，我们用分段线性间歇映射中不动点附近的渐近行为来刻画间歇性。因此，我们提供了一个框架来理解间歇性的统一刻画，并给出了更新过程的Lyapunov指数。利用日本气象厅和国家地震信息中心的目录，这种方法被应用于地震的发生。通过分析事件间隔时间的回归映射，我们发现事件间隔时间不是独立同分布的随机变量，而是尾部的条件概率分布函数服从威布尔分布。
We construct a one-dimensional piecewise linear intermittent map from the interevent time distribution for a given renewal process. Then, we characterize intermittency by the asymptotic behavior near the indifferent fixed point in the piecewise linear intermittent map. Thus, we provide a framework to understand a unified characterization of intermittency and also present the Lyapunov exponent for renewal processes. This method is applied to the occurrence of earthquakes using the Japan Meteorological Agency and the National Earthquake Information Center catalog. By analyzing the return map of interevent times, we find that interevent times are not independent and identically distributed random variables but that the conditional probability distribution functions in the tail obey the Weibull distribution.