Dynamical Systems and Analysis Seminar - Runlian Xia
| Dates: | 17 November 2025 |
|---|
| Times: | 14:00 - 15:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Current University students |
|---|
|
Speaker: Runlian Xia (University of Glasgow)
Title: Ergodic theorems for unimodular amenable groups via random walk approach
Abstract: The pointwise ergodic theorem for amenable groups was first proved by Lindenstrauss in 2001. Very recently, this result was extended to the noncommutative setting - where the measure space is replaced by a von Neumann algebra equipped with a semifinite normal faithful trace - by Caldihac and Wang. In this talk, we show that the ergodic averages of the action of any unimodular amenable group along certain Følner sequences can be dominated by the Cesàro means of a suitably constructed Markov operator; that is, by the ergodic averages of an integer action. As a consequence, we provide a unified and simpler proof of the two results in the commutative and noncommutative setting for unimodular amenable groups.
Joint work with Ujan Chakraborty and Joachim Zacharias.
Room: Frank Adams 1
Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
