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Colloquium

Mathematics Colloquium

Date:
Time:
4:00 pm – 4:50 pm
Avery Hall
1144 T St
 Lincoln NE 68508
Additional Info: AVH
Contact:
Steven Cohn, (402) 472-7223, scohn1@unl.edu
Speaker: Sergey Bezuglyi
Affiliation: University of Iowa
Local Host: David Pitts
Title: Bratteli diagrams: structure, measures, dynamics

Additional Public Info:
In the talk, I will focus on the role of Bratteli diagrams in Cantor dynamics. It turns out that any homeomorphism of a Cantor set can be realized on the path space of a Bratteli diagram. The main reason why Bratteli diagrams are convenient to use for the study of homeomorphisms T : X -> X is the fact that various properties of T become more transparent when one deals with corresponding Bratteli dynamical systems. This observation is applied, first of all, to T-invariant measures and their supports, to minimal components of T, structure of T -orbit, etc. I will also discuss more recent results about measures on stationary and finite rank Bratteli diagrams.

Refreshments will be served 3:30-4:00 in 348 Avery. The talk is free and open to the public.

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