Alexei Kanel-Belov, Ivan Mitrofanov. Periodicity of Rauzy scheme and substitutional systems

Natural Sciences / Mathematics / Dynamical systems

Submitted on: Aug 27, 2012, 22:35:04

Description: In the paper the notion of 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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