标题： 核子和金融市场中的相干模式 显示英文标题

标题： Coherent Patterns in Nuclei and in Financial Markets

摘要： 在传统物理学领域，原子核属于最复杂的系统之一。它本质上包含了所有表征复杂性的要素，包括最具特色的一个要素，其本质是相干模式与随机性的永久共存。从更跨学科的角度来看，这些是代表极端复杂性的金融市场。在此基础上，我们根据矩阵形式，设定了上述两种系统中一些复杂性特征之间的类比。我们特别提到一个概念——历史上起源于核物理考虑的概念——随机矩阵理论，并展示了其在量化混沌与集体性共存特征方面的效用，同样适用于金融市场。在后一种情况下，我们展示了说明矩阵公式向源自图论概念映射的例子。最后，注意到了金融市场连贯性的一些新方面，这为推测在原子核或其他强相互作用的费米系统中是否能检测到类似效应提供了空间。 显示英文摘要

摘要： In the area of traditional physics the atomic nucleus belongs to the most complex systems. It involves essentially all elements that characterize complexity including the most distinctive one whose essence is a permanent coexistence of coherent patterns and of randomness. From a more interdisciplinary perspective, these are the financial markets that represent an extreme complexity. Here, based on the matrix formalism, we set some parallels between several characteristics of complexity in the above two systems. We, in particular, refer to the concept - historically originating from nuclear physics considerations - of the random matrix theory and demonstrate its utility in quantifying characteristics of the coexistence of chaos and collectivity also for the financial markets. In this later case we show examples that illustrate mapping of the matrix formulation into the concepts originating from the graph theory. Finally, attention is drawn to some novel aspects of the financial coherence which opens room for speculation if analogous effects can be detected in the atomic nuclei or in other strongly interacting Fermi systems.