pith. sign in

arxiv: 1107.0185 · v3 · pith:JEDBZRX7new · submitted 2011-07-01 · 🧮 math.DS · math.CO

Periodicity of Rauzy scheme and substitutional systems

classification 🧮 math.DS math.CO
keywords rauzyschemegraphnotionperiodicityarchesbehaviorchain
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.