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Essentially faithful codings and Bratteli-Vershik Transformations Frick, Sarah

Description

Points are coded in a Bratteli-Vershik system by the cylinders of a fixed length through which their orbit passes at time $n$. This coding is said to be essentially faithful if it is faithful on a set of measure 1. We discuss a family of diagrams that are guaranteed to have a faithful coding for sufficiently long cylinders. In addition, we will discuss a condition on diagrams for which the codings will be periodic on a set of measure 1 and hence not faithful.

Item Metadata

Title
Essentially faithful codings and Bratteli-Vershik Transformations
Creator
Frick, Sarah
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-05-13T11:30
Description
Points are coded in a Bratteli-Vershik system by the cylinders of a fixed length through which their orbit passes at time $n$. This coding is said to be essentially faithful if it is faithful on a set of measure 1. We discuss a family of diagrams that are guaranteed to have a faithful coding for sufficiently long cylinders. In addition, we will discuss a condition on diagrams for which the codings will be periodic on a set of measure 1 and hence not faithful.
Extent
36.0 minutes
Subject
Mathematics; Dynamical systems and ergodic theory; Group theory and generalizations; Dynamical systems
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Furman University
Series
BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available
2019-11-10
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0385152
URI
http://hdl.handle.net/2429/72240
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International