In our book 'What Is a Complex System?', James Ladyman and I have developed a conceptual framework for the phenomenon of complexity which covers all the well-known phenomena that are associated with complexity. Research articles on the subject are available on the project page.
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Information theory has played a role in measuring complexity for a long time. The focus of this work is the development of techniques to detect structure in real-world data sets. In a range of projects we were able to detect structural changes in materials, in proteins, and in stem cells. In ongoing research we develop tools of information theory to study complex networks.
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Complex systems theory offers a range of powerful new tools to analyse the stability of social systems. I work with social and political scientists on a framework for the stability of democracy. Coupled social and environmental systems require a huge effort in combining available data, mathematical techniques and knowledge from social and environmental science to understand them. I collaborate with climate project managers on developing a practical approach to climate project management and evaluation using techniques from complexity science.
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Quantum Information Theory
Molecular Electronic Structure
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