摘要翻译：
研究了60种世界货币汇率的每日时间序列。计算相关矩阵，并为这些货币中的每一种构造相应的最小生成树(MST)图，作为其余货币的参考。结果表明，MST图结点的多重性在较好的近似下呈现幂型无标度分布，其标度指数与其它已研究过的复杂系统相似。此外，通过将上述MST图的结构及其标度指数与从一个精确可解的层次网络模型导出的标度指数联系起来，提供了有利于世界货币交换网络的层次组织的定量论证。美元在考虑期间的特殊状态可以归因于MST特征的一些偏离，当使用该货币（或与之相关的其他货币）作为参考时，从典型的节点层次聚类特征转向与随机图相对应的特征。尽管一般来说MST的基本结构在改变参考货币方面是稳健的，但当相关性增加时，可以观察到一些从有点分散的系统过渡到更紧凑的MST拓扑的痕迹，如美元的情况。
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英文标题：
《Scale free effects in world currency exchange network》
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作者：
A. Z. Gorski, S. Drozdz, J. Kwapien
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最新提交年份：
2008
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：Statistical Finance        统计金融
分类描述：Statistical, econometric and econophysics analyses with applications to financial markets and economic data
统计、计量经济学和经济物理学分析及其在金融市场和经济数据中的应用
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一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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英文摘要：
  A large collection of daily time series for 60 world currencies' exchange rates is considered. The correlation matrices are calculated and the corresponding Minimal Spanning Tree (MST) graphs are constructed for each of those currencies used as reference for the remaining ones. It is shown that multiplicity of the MST graphs' nodes to a good approximation develops a power like, scale free distribution with the scaling exponent similar as for several other complex systems studied so far. Furthermore, quantitative arguments in favor of the hierarchical organization of the world currency exchange network are provided by relating the structure of the above MST graphs and their scaling exponents to those that are derived from an exactly solvable hierarchical network model. A special status of the USD during the period considered can be attributed to some departures of the MST features, when this currency (or some other tied to it) is used as reference, from characteristics typical to such a hierarchical clustering of nodes towards those that correspond to the random graphs. Even though in general the basic structure of the MST is robust with respect to changing the reference currency some trace of a systematic transition from somewhat dispersed -- like the USD case -- towards more compact MST topology can be observed when correlations increase.
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PDF链接：
https://arxiv.org/pdf/0810.1215