English

On the number of return words in infinite words with complexity 2n+1

Combinatorics 2007-05-23 v1 Dynamical Systems

Abstract

In this article, we count the number of return words in some infinite words with complexity 2n+1. We also consider some infinite words given by codings of rotation and interval exchange transformations on k intervals. We prove that the number of return words over a given word w for these infinite words is exactly k.

Keywords

Cite

@article{arxiv.math/0009094,
  title  = {On the number of return words in infinite words with complexity 2n+1},
  author = {Laurent Vuillon},
  journal= {arXiv preprint arXiv:math/0009094},
  year   = {2007}
}

Comments

see also http://liafa.jussieu.fr/~vuillon/articles.html