Bratteli-Vershik models for Cantor and Borel dynamical systems

Speaker: 
Bratteli-Vershik models for Cantor and Borel dynamical systems
Date: 
Tue, May 19, 2020
Location: 
Zoom
Conference: 
University of Utah Seminar in Ergodic Theory
CRG: 
Abstract: 

In this talk we will introduce Bratteli diagrams and Vershik maps. Herman-Putnam-Skau proved that for every minimal Cantor dynamical system there exists a Bratteli-Vershik model. We will discuss the proof of this theorem, some of its applications and recent developments. We will also discuss Bratteli-Vershik models for Borel dynamical systems (Bezuglyi-Dooley-Kwiatkowski). Finally, we will briefly talk about connections between Bratteli diagrams and flows on translation surfaces (Lindsey-Treviño).

Subject: 
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