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.

The abstract of this article will be published in the August 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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Alexei_Kanel-Belov__Periodicity_of_Rauzy_scheme.pdf



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