An essentially faithful coding of Limited Scope adic systems
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| Title | An essentially faithful coding of Limited Scope adic systems |
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| Alternative Title | Essentially faithful codings and Bratteli-Vershik Transformations |
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| Number of Parts | 15 |
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| License | 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. |
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