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March 27, 2024

Furstenberg entropy spectrum of stationary actions – Location- SC1432

In this talk we will discuss some aspect of the question: given a group, what is the range of the Furstenberg entropy of ergodic stationary actions of it? For the special linear group and its lattices, constraints on this spectrum come from Nevo-Zimmer structure theorems; and entropy values can be realized based on Poisson bundles over stationary random subgroups.