Random walks in divergence-free random environments
Balint Toth (University of Bristol, UK and Alfr茅d R茅nyi Institute of Mathematics, Budapest, Hungary)
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.
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