In this paper, we investigate the linkages between global crude oil market volatilities and financial markets and the degree of synchrony of crude oil markets and stock markets. A nonlinear cross-analysis of bivariate data method called CRP is applied to study the probability distribution of occurrence of similar states and the time span of occurrence of synchronization dynamics for crude oil return series and stock return series. Further, a new composite multiscale complexity invariance distance is introduced to measure the similarity of complexity between crude oil markets and stock markets. The results of this study show that there is a synchronization in the crude oil markets and stock markets, and those two systems have similar complexity from composite multiscale perspective.

中文翻译：

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通过复杂性同步，全球原油市场波动与金融市场之间的联系

在本文中，我们研究了全球原油市场波动与金融市场之间的联系以及原油市场与股票市场的同步程度。采用非线性交叉分析双变量数据方法CRP，研究原油回输系列和原油回输系列相似状态发生的概率分布以及同步动力学发生的时间跨度。此外，引入了一种新的复合多尺度复杂度不变距离来测量原油市场和股票市场之间的复杂度相似性。研究结果表明，原油市场和股票市场存在同步，从复合多尺度角度看，这两个系统具有相似的复杂性。