Short Talk: Kunal Chawla

The Poisson boundary of a random walk is an abstract measure space that captures all the nontrivial asymptotic events of the Markov chain. In many examples, one can find a concrete topological “realization” of this space, and it is a well-studied question when one can find a universal such realization for all random walks on the same group. We show that, in some sense, this is never possible. This is joint work with Josh Frisch.