Substitutions over infinite alphabet generating (-\beta)-integers
Discrete Mathematics
2011-08-19 v1
Abstract
This contribution is devoted to the study of positional numeration systems with negative base introduced by Ito and Sadahiro in 2009, called (-\beta)-expansions. We give an admissibility criterion for more general case of (-\beta)-expansions and discuss the properties of the set of (-\beta)-integers. We give a description of distances within this set and show that this set can be coded by an infinite word over an infinite alphabet, which is a fixed point of a non-erasing non-trivial morphism.
Cite
@article{arxiv.1108.3627,
title = {Substitutions over infinite alphabet generating (-\beta)-integers},
author = {Daniel Dombek},
journal= {arXiv preprint arXiv:1108.3627},
year = {2011}
}
Comments
In Proceedings WORDS 2011, arXiv:1108.3412