Identifying Complexity by Means of Matrices

S. Drozdz, J. Kwapien, J. Speth and M. Wojcik

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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.

Date: 2001-12
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Published in PhysicaA314:355-361,2002

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