Biased random walks in random environments

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Nina Gantert, TU Munich

We present several questions (and some answers) about biased random walks on percolation clusters and biased random walks among random conductances. In particular,  we address ballisticity, monotonicity of the speed as a function of the strength of the bias and the Einstein relation.

The talk is based on joint works with Noam Berger, Xiaoqin Guo, Matthias Meiners, Sebastian Müller and Jan Nagel.