Bálint Tóth
Rényi Institute of Mathematics, Budapest, Hungary & University of Bristol, Bristol, UK

I will survey results and some open questions related to random walks (and diffusions) in divergence-free drift fields. The problems are mainly motivated by the need of understanding long time asymptotic behaviour (normal or anomalous diffusion) of advective motion of particles in disordered media -- e.g. in incompressible turbulent flow. Probabilistic and analytic aspects will be highlighted.