Furstenberg Entropy Spectrum of Stationary Actions

Explore advanced mathematical concepts in this one-hour seminar from the Joint IAS/PU Groups and Dynamics series, where UC San Diego's Tianyi Zheng investigates the range of Furstenberg entropy in ergodic stationary actions of groups. Delve into the constraints on entropy spectrum for special linear groups and their lattices through Nevo-Zimmer structure theorems, and examine how entropy values can be realized using Poisson bundles over stationary random subgroups. Learn about ongoing research challenges in describing entropy spectrum for other simple Lie groups, featuring collaborative work with Jeremie Brieussel.