Midrasha on Groups Seminar

Date:
01
Monday
December
2025
Lecture / Seminar
Time: 14:15-16:00
Title: Asymptotically commuting measures share the Furstenberg–Poisson boundary
Location: The David Lopatie Hall of Graduate Studies
Lecturer: Aranka Hrušková
Organizer: Faculty of Mathematics and Computer Science
Contact: hany.kochavi@weizmann.ac.il
Details: Weizmann
Abstract: Let \theta and \mu be two Borel probability measures on a topological group G su ... Read more Let \theta and \mu be two Borel probability measures on a topological group G such that the subsemigroup generated by the support of \theta is contained in the subsemigroup generated by the support of \mu. We show that if the total variation distance of \theta\mu^n and \mu^n\theta, where the multiplication is understood to be convolution, goes to 0 as n tends to infinity, then every bounded \mu-harmonic function on G is also \theta-harmonic. Among other things, this result gives elegant alternative proofs of several known theorems, for example that for any probability measure \nu on G, the centre of G acts trivially on the Poisson boundary of (G,\nu). Joint work with Yair Hartman and Omer Segev.
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