The members of the dynamics group are interested in both theory and applications. Theoretical research include thermodynamical formalism and transfer operator methods, ergodic optimization, complex maps and correspondences, algebraic and arithmetic dynamics, and stochastic processes as obtained from rescaled chaotic dynamics. On the applied side, there is research on spatially extended dynamical systems, models for telecommunication networks and internet traffic, control of chaos, round-off errors in dynamical systems, nonequilibrium statistical mechanics, hydrodynamic turbulence, pattern formation, phase transitions in spatially extended systems, stochastic processes and chaotic quantization.
The relativity group is mainly interested in exact solutions of Einstein's field equations, black holes, gravitational radiation, cosmological models, and alternative theories of gravity. The group also has a strong interest in algebraic computing.