MaPSS: Mathematical Postgraduate Seminar Series: Kamil Bulinski -- Equidistribution and Unique Ergodicity

Dear All, 

We are delighted to present the MaPSS Seminar topic of Monday 29/08; please see the
abstract below.  

**This Semester the Seminar will always run on Monday, at 5:00pm in 535A** 

Following the talk, there will be pizza on offer.  

Speaker: Kamil Bulinski (Sydney University) 

Title: Equidistribution and Unique Ergodicity 

Abstract: We all know that if  $\alpha \in \mathbb{R}/\mathbb{Z}$ is irrational, then
the sequence $\n \alpha$ is dense.  The goal of this talk is to prove that this is also
true for the sequence $n^2 \alpha$.  In fact, we will show that this sequence is
equidistributed (a result due to Weyl).  To do so, we will introduce some basic notions
in Dynamics and Ergodic Theory, culminating in a proof of Furstenberg’s result on the
unique ergodicity of skew products, which implies Weyl’s result.  

Supervisors, please encourage your students to attend.  

Thanks,
MaPSS Organizers