标题： 基于奇点强度的金融网络特征描述 显示英文标题

标题： Singularity strength based characterization of financial networks

摘要： 金融市场是多分形复杂系统的著名例子，它们在通过复杂网络理论进行特征描述时引起了广泛关注。近期的研究使用基于相关性的距离度量来定义和分析金融网络。在这项工作中，采用了奇异性强度来定义一种距离度量，并研究了约翰内斯堡证券交易所中的层级结构的存在性。金融市场中原本隐藏于基于相关系数的描述中的多重分形特性，通过奇异性强度方法得到了分析。该网络中展示了一个超级集群，它占网络大小的一半，并且在南非市场的行业构成上具有同质性。 显示英文摘要

摘要： Financial markets are well known examples of multi-fractal complex systems that have garnered much interest in their characterization through complex network theory. The recent studies have used correlation based distance metrics for defining and analyzing financial networks. In this work the singularity strength is employed to define a distance metric and the existence of hierarchical structure in the Johannesburg Stock Exchange is investigated. The multi-fractal nature of the financial market, which is otherwise hidden in the correlation coefficient based prescriptions, is analyzed through the use of the singularity strength based method. The presence of a super cluster is exhibited in the network which accounts for half of the network size and is homogeneous in the sectoral composition of the South African market.