I will survey some fairly universal mechanisms which induce slow regimes for random walks. I will mainly give a few examples of dynamics in random media, where the complex geometry of the medium can induce interesting slow diffusion, in particular when a drift is added. The paradigm will be random walks on random trees or on percolation clusters. I will report on recent joint works with M.Cabezas, J. Cerny, A.Fribergh, A.Hammond, Y. Hu, N.Gantert, S. Olla, R. Royfman, V. Sidoravicius, and O.Zeitouni.
Slow diffusion and transport in random media
Gerard Ben Arous, Courant Institute of Mathematics
Apr 15 2013 - 4:30pm