Effective equidistribution of random walks on simple homogeneous spaces

Timothée Bénard, Weikun He

We consider a random walk on a homogeneous space $G/\hat{I}›$ where $G$ is a non-compact simple Lie group and $\hat{I}›$ is a lattice. The walk is driven by a probability measure $\hat{I}¼$ on $G$ w…