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arXiv · 1107.0185

Periodicity of Rauzy scheme and substitutional systems

Alexei Kanel-Belov·Ivan Mitrofanov
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Abstract

In the paper the notion of {\em Rauzy scheme} is introduced. From Rauzy graph Rauzy Scheme can be obtaining by uniting sequence of vertices of ingoing and outgoing degree 1 by arches. This notion is a tool to describe Rauzy graph behavior. For morphic superword we prove periodicity of Rauzy schemes. This is generalization of fact that quadratic irrationals have periodic chain fractions.

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Alexei Kanel-Belov, Ivan Mitrofanov. 2011-07-01. Periodicity of Rauzy scheme and substitutional systems. https://arxiv.org/abs/1107.0185

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