Introduction to the Theory of Complex Systems

Complex systems are everywhere. Ecosystems, financial markets, traffic, the economy, the internet and social media are complex systems. This textbook summarizes our understanding of complex systems and the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.

Stefan Thurner, Full Professor of Science of Complex Systems, Medical University of Vienna, Austria, Peter Klimek, Associate Professor, Medical University of Vienna, Austria, Rudolf Hanel, Associate Professor, Medical University of Vienna, Austria

Stefan Thurner is full professor for Science of Complex Systems at the Medical University of Vienna, where he chairs the Section for Science of Complex Systems. He is external professor at the Santa Fe Institute, senior researcher at IIASA, and president of the Complexity Science Hub Vienna. He obtained a PhD in theoretical physics from the Technical University of Vienna and a PhD in economics from the University of Vienna. He held postdoctoral positions at Humboldt Universitat zu Berlin and Boston University before joining the faculty of the University of Vienna and later Medical University. Stefan started his career with contributions to theoretical particle physics and gradually shifted his research focus to the understanding of complex systems. He is the author of more than 200 scientific articles.

Peter Klimek is Associate Professor at the Section for Science of Complex Systems at the Medical University of Vienna and faculty member of the Complexity Science Hub Vienna. His research interests include network medicine, complexity economics, modelling of collective socio-economic phenomena, electoral fraud detection, as well as novel methods to measure systemic risk.

Rudolf Hanel is Associate Professor at the Section for Science of Complex Systems at the Medical University of Vienna and faculty member of the Complexity Science Hub Vienna. His research interests range from applications in medical physics to theoretical work on the behaviour of driven regulatory systems with a focus on mathematical issues.