Decisive Bratteli-Vershik models
Olena Karpel
Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland
http://www.ilt.kharkov.ua/bvi/structure/depart_e/karpel.htm
Date(s) : 25/10/2016 iCal
11h00 - 12h00
The goal of this talk is to determine when a homeomorphism of a compact zero-dimensional metric space has a decisive Bratteli-Vershik representation. An ordered Bratteli diagram is called decisive if the corresponding Vershik map prolongs in a unique way to a homeomorphism of the whole path space of a Bratteli diagram. We prove that a compact invertible zero-dimensional system has a decisive Bratteli-Vershik model if and only if the set of aperiodic points is dense, or its closure misses one periodic orbit.
This is a joint work with T. Downarowicz.
https://arxiv.org/abs/1704.04447
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