Erich Baur: Random Walks in Random Environment (RWRE) in the small disorder regime

We study non-ballistic random walks in an i.i.d. random environment when the strength of the disorder is small. We present a recent result with Erwin Bolthausen on exit distributions of such walks in dimensions three and higher. If time permits, we also look at mean sojourn times in large balls and discuss an invariance principle for RWRE which are balanced in one fixed coordinate direction.