Stochastic dynamics and bifurbications
The project addresses central questions about stochastic processes and their dynamics in various random environments, including noise-induced transitions for diffusions evolving in an environment subject to slow change and random perturbations, metastability for coupled diffusion processes, scenery reconstruction from a record of colourings observed along a random walk path, and the problem of optimal alignment of random strings. Stochastic processes in random media have been a very active area of research in the past decade (see e.g.Bolthausen and Sznitman, 2002) as has the area of random dynamical systems (Arnold, 1998). Yet, the theory of bifurcations in random dynamical systems is still in its infancy.
This project continues the successful work of the project Stochastic processes in random media under the direction of Friedrich Götze and Silke Rolles.