In mathematically oriented research we attempt to crystallise clear and appliable definitions of a system being complex, in the sense of being more than the direct combination of its components.
The notion of Emergent behaviour is a key focus of our attention, and connnects to the question of forecastability vs chaos in complex systems and more mathematically to non-uniqueness of Gibbs phases.
Specifically identifying the emerging behaviour is crucial in real examples: we are researching general methodologies for variable reduction on networks, the identification of continuum limits in particle systems, and of coherent phenomena in turbulent systems.
- theory of complex systems
- weather & climate
- understanding jet and resonant wave formation in atmospheric and ocean flows
- contributing to controlling stability of fusion plasmas.