On the structure of Thue-Morse subwords, with an application to dynamical systems
Combinatorics
2017-05-25 v1
Abstract
We give an in depth analysis of the subwords of the Thue-Morse sequence. This allows us to prove that there are infinitely many injective primitive substitutions with Perron-Frobenius eigenvalue 2 that generate a symbolic dynamical system topologically conjugate to the Thue-Morse dynamical system.
Keywords
Cite
@article{arxiv.1405.2235,
title = {On the structure of Thue-Morse subwords, with an application to dynamical systems},
author = {Michel Dekking},
journal= {arXiv preprint arXiv:1405.2235},
year = {2017}
}
Comments
Number of pages: 8