Introduction to the Theory of Complex Systems (2024)

Online ISBN:

9780191861062

Print ISBN:

9780198821939

Publisher:

Oxford University Press

Book

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Stefan Thurner,

Stefan Thurner

Full Professor of Science of Complex Systems

Full Professor of Science of Complex Systems, Medical University of Vienna, Austria

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Oxford Academic

Peter Klimek,

Peter Klimek

Associate Professor

Associate Professor, Medical University of Vienna, Austria

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Oxford Academic

Published:

20 September 2018

Online ISBN:

9780191861062

Print ISBN:

9780198821939

Publisher:

Oxford University Press

Cite

Thurner, Stefan, Peter Klimek, and Rudolf Hanel, Introduction to the Theory of Complex Systems (Oxford, 2018; online edn, Oxford Academic, 22 Nov. 2018), https://doi.org/10.1093/oso/9780198821939.001.0001, accessed 12 June 2024.

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Abstract

This book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation, epidemic spreading, or the internet and social media. Complex systems are systems composed of many elements that interact with each other, which makes them extremely rich dynamical systems showing a huge range of phenomena. Properties of complex systems that are of particular importance are their efficiency, robustness, resilience, and proneness to collapse. The quantitative tools and concepts needed to understand the co-evolutionary nature of networked systems and their properties are challenging. The intention of the book is to give a self-contained introduction to these concepts so that the reader will be equipped with a conceptual and mathematical toolset that allows her to engage in the science of complex systems. Topics covered include random processes of path-dependent processes, co-evolutionary dynamics, the statistics of driven nonequilibrium systems, dynamics of networks, the theory of scaling, and approaches from statistical mechanics and information theory. The book extends well beyond the early classical literature in the field of complex systems and summarizes the methodological progress over the past twenty years in a clear, structured, and comprehensive way. The book is intended for natural scientists and graduate students.

Keywords: complex systems, co-evolution, non-equilibrium, networks, physics of complex systems, driven systems, scaling laws, power laws, statistical inference, information theory

Subject

Mathematical and Statistical Physics Computational Physics

Collection: Oxford Scholarship Online

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