地震台网粗粒化尺度的确定
Determination of the scale of coarse graining in earthquake network
摘要：
在最近的一篇论文[S。Abe和N.铃木，欧菲。信件：65（2004）581]中，为了描述地震活动的复杂性，引入了地震台网的概念。在那里，单元格的大小，这是一个粗粒化的规模所需的地震台网，一直保持作为一个自由参数。在这里，提出了一种方法来确定它的基础上的网络的缩放行为。非常值得注意的是，幂律连通性分布的指数和聚类系数被发现接近各自的普适值，并保持不变，因为细胞的大小变得大于一定的值，$l_*$，这取决于分析中包含的事件的数量，在一般情况下。此$l_*$修复粗粒化的比例。结果的普遍性证明了所有的网络构建的数据独立地从加利福尼亚州，日本和伊朗。
英文摘要：
In a recent paper [S. Abe and N. Suzuki, Europhys. Lett., 65 (2004) 581], the concept of earthquake network has been introduced in order to describe complexity of seismicity. There, the cell size, which is the scale of coarse graining needed for constructing an earthquake network, has remained as a free parameter. Here, a method is presented for determining it based on the scaling behavior of the network. Quite remarkably, both the exponent of the power-law connectivity distribution and the clustering coefficient are found to approach the respective universal values and remain invariant as the cell size becomes larger than a certain value, $l_*$, which depends on the number of events contained in the analysis, in general. This $l_*$ fixes the scale of coarse graining. Universality of the result is demonstrated for all of the networks constructed from the data independently taken from California, Japan and Iran.
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