Members' Colloquium

On a Theorem of Furstenberg

A deep result of Furstenberg from 1967 states that if $\Gamma$ is a lattice in a semisimple Lie group $G$, then there exists a measure on $\Gamma$ with finite first moment such that the corresponding harmonic measure on the Furstenberg boundary of $G$ is absolutely continuous. I will discuss some of the history of this result and some recent generalizations.

Date & Time

April 01, 2024 | 2:00pm – 3:00pm

Location

Simonyi 101 and Remote Access

Event Series

Notes

Meeting ID: 874 6951 4935 

Passcode: 483357

Video link: https://www.ias.edu/video/theorem-furstenberg