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An essentially faithful coding of Limited Scope adic systems

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An essentially faithful coding of Limited Scope adic systems
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Essentially faithful codings and Bratteli-Vershik Transformations
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15
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
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.