On the Lyndon Dynamical Systems
Dynamical Systems
2017-07-31 v2
Abstract
Given a totally finite ordered alphabet , endowing the set of words over with the alternating lexicographic order, we define a new class of Lyndon words. We study the fundamental properties of the associated symbolic dynamical systems called Lyndon system. We derive some fundamental properties of the beta-shift with negative base by relating it with the Lyndon system. We find, independently of W. Steiner's method, the conditions for which a word is the -expansion of for some .
Keywords
Cite
@article{arxiv.1707.07730,
title = {On the Lyndon Dynamical Systems},
author = {Florent Nguema Ndong},
journal= {arXiv preprint arXiv:1707.07730},
year = {2017}
}