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arXiv · 1812.05680

Periodic codings of Bratteli-Vershik systems

Sarah Frick·Karl Petersen·Sandi Shields
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Abstract

We develop conditions for the coding of a Bratteli-Vershik system according to initial path segments to be periodic, equivalently for a constructive symbolic recursive scheme corresponding to a cutting and stacking process to produce a periodic sequence. This is a step toward understanding when a Bratteli-Vershik system can be essentially faithfully represented by means of a natural coding as a subshift on a finite alphabet.

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Sarah Frick, Karl Petersen, Sandi Shields. 2018-12-13. Periodic codings of Bratteli-Vershik systems. https://arxiv.org/abs/1812.05680

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