Research

Our research group focuses on the investigation of the long-term behaviour, complexity and stability properties of time-dependent systems. These may be given by differential equations, the iteration of mappings or more general group actions. In general, the theory of dynamical systems provides the basis for multifaceted applications in physics, biology, climate science, economics, ecology and almost every other branch of science. Roughly spoken, whenever predictions or forcasts are made on a scientific basis, dynamical systems are involved in some form or the other. Within mathematics, ergodic theory and dynamical systems have close relations to and substantial intersections with other disciplines including probability theory, differential geometry, number theory, topology or spectral theory.