2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211852Complexity 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.Talk given by S. Drozdz at "Horizons in Complex Systems", Messina, December 5-8, 2001Soft Condensed MatterAdaptation and Self-Organizing SystemsNuclear TheoryStatistical Financetext