Exchange of three intervals: itineraries, substitutions and palindromicity
Combinatorics
2016-06-21 v3
Abstract
Given a symmetric exchange of three intervals, we provide a detailed description of the return times to a subinterval and the corresponding itineraries. We apply our results to morphisms fixing words coding non-degenerate three interval exchange transformation. This allows us to prove that the conjecture stated by Hof, Knill and Simon is valid for such infinite words.
Cite
@article{arxiv.1503.03376,
title = {Exchange of three intervals: itineraries, substitutions and palindromicity},
author = {Zuzana Masáková and Edita Pelantová and Štěpán Starosta},
journal= {arXiv preprint arXiv:1503.03376},
year = {2016}
}
Comments
29 pages, short version in Developments in Language Theory, 19th International Conference, DLT 2015, Liverpool, UK, July 27-30, 2015, Proceedings