Choquet–Deny Groups
Ariel Yadin · Cambridge University Press eBooks · 2024
The Choquet–Deny theorem states that any random walk on a nilpotent group is Liouville. This theorem is presented and proved. We then present a recent result from 2018 by Frisch, Hartman, Tamuz, and Vahidi-Ferdowski, that these are basically the only such examples.