# Mathematical Sciences Research Institute

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# Seminar

RAS - Research Seminar (Part 2): On the ergodicity of Burger-Roblin measures October 19, 2020 (10:00 AM PDT - 11:00 AM PDT)
Parent Program: Random and Arithmetic Structures in Topology -- Virtual Semester MSRI: Online/Virtual
Speaker(s) Hee Oh (Yale University)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

This is one of the research seminars for the RAS program, that distinguishes itself from the postdocs and program associates seminars in that speakers are chosen among Research Members, Research Professors with occasional outside speakers.

Video

#### On The Ergodicity Of Burger Roblin Measures

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25205

Abstract:

On Anosov homogeneous spaces, Burger-Roblin measures forms a natural class of horospherical invariant measures.

In joint work with Edwards and Lee, we proved that they show up as the main term of the asymptotic of the matrix coefficients in $L^2(Gamma\backslash G)$ for compactly supported functions. We will discuss ergodic properties of these measures, highlighting how the “Anosov” property of $\Gamma$ plays a role. This is joint work with Minju Lee.