Joint IAS/PU Groups and Dynamics Seminar

I will explain why a random walk on a simple homogeneous space equidistributes toward the Haar measure with an explicit rate, provided that the walk is not trapped in a finite invariant set and that the distribution driving the walk is Zariski-dense...

A similarity is a map from $R^d$ to itself that uniformly scales distances. When one repeatedly applies randomly chosen contracting similarities, the resulting Markov chain converges to a limiting stationary distribution known as a self-similar...