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Identifying Complexity by Means of Matrices

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  • S. Drozdz
  • J. Kwapien
  • J. Speth
  • M. Wojcik

Abstract

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related characteristics. Based on several natural complex dynamical systems, like the strongly interacting quantum many-body systems, the human brain and the financial markets, by relating empirical observations to the random matrix theory and quantifying deviations in term of a reduced dimensionality, we present arguments in favour of the statement that complexity is a pheomenon at the edge between collectivity and chaos.

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  • S. Drozdz & J. Kwapien & J. Speth & M. Wojcik, 2001. "Identifying Complexity by Means of Matrices," Papers cond-mat/0112271, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0112271
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