Mark Kac Complex Systems Research Centre was created at the Faculty of Physics, Astronomy and Applied Computer Science of the Jagiellonian University as the unique (in Poland) scientific centre for advanced research, creating the methodology for the developing branches of science connected to computer technologies and at the same time, promoting this methodology via practical (industrial) applications in high-tech sector.

The Centre functions using the newest ideas from mathematics, science and applied computer science, which can describe the behavior and the evolution of the complex systems. Complex systems are multi-element structures, with large number of elements which not only are strongly connected, but also which interact mutually. The examples of real complex systems are: large artificial networks of computer nodes (Internet, www), telecommunication networks (wireless, UMTS and further generations), contemporary economic and financial markets, biosystems and genetic systems or strongly correlated quantum systems. The rapid development of computer sciences and practically unlimited possibilities of recording the information in the memory of the computers triggered the need for new search methods, which can guarantee the fastest possible identification of the essential signals and which can unravel the existing correlations, hidden in the vast sets of information. The leading role in creating such new methods is played by the fundamental science (mainly physics and mathematics).

The project for creation of Mark Kac Complex Systems Research Centre in Poland was inspired by the the activities of similar research centers in US, like e.g. Santa Fe Institute (New Mexico) or Institute for Advanced Studies in Santa Barbara (California).

The interdisciplinary research at the Centre for Complex Systems Research is focused on four projects:


  1. Fundamental research and applications in the field of large computer and telecommunication networks (NetLab)


  1. Financial, market and crises risk management and risk assessment (RiskLab)


  1. Linking the fundamental research of bioinformatics and genetic computer studies to practical applications (BioLab)


  1. Processing of the quantum information (storing, design of the logical gates, fundamental studies of strongly correlated atoms) (QuantLab)


  1. Cognitive Science, Brain Signal analysis, Computational Brain Models, Artificial Intelligence, Serious Games. (CogniLab)

Scientific Council

Prof. dr hab. Ewa Gudowska-Nowak 

Prof. dr hab. Jerzy Jurkiewicz

Prof. dr hab. Maciej A. Nowak (Head)

Prof. dr hab. Jerzy Szwed

Prof. dr hab. Jakub Zakrzewski


Department of Theory of Complex Systems

Marian Smoluchowski Institute of Physics

The Faculty of Physics, Astronomy and Applied Computer Science

Jagiellonian University


prof. Stanisława Łojasiewicza 11

30-348 Kraków, Poland

room: D-2-39, tel.: +48 12 664 4678

e-mail: nowak [at] th.if.uj.edu.pl