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Singularity strength based characterization of financial networks

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  • Sayantan Ghosh
  • Uwe Jaekel
  • Francesco Petruccione

Abstract

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.

Suggested Citation

  • Sayantan Ghosh & Uwe Jaekel & Francesco Petruccione, 2012. "Singularity strength based characterization of financial networks," Papers 1205.1710, arXiv.org.
    • Handle: RePEc:arx:papers:1205.1710
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    File URL: http://arxiv.org/pdf/1205.1710
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