Periodicity of Rauzy scheme and substitutional systems
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.
 Publication:

arXiv eprints
 Pub Date:
 July 2011
 DOI:
 10.48550/arXiv.1107.0185
 arXiv:
 arXiv:1107.0185
 Bibcode:
 2011arXiv1107.0185K
 Keywords:

 Mathematics  Dynamical Systems;
 Mathematics  Combinatorics
 EPrint:
 in Russian