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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.

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Attribution-NonCommercial-NoDerivatives 4.0 International