Ito-Sadahiro numbers vs. Parry numbers
Number Theory
2010-11-01 v1
Abstract
We consider positional numeration system with negative base, as introduced by Ito and Sadahiro. In particular, we focus on algebraic properties of negative bases for which the corresponding dynamical system is sofic, which happens, according to Ito and Sadahiro, if and only if the -expansion of is eventually periodic. We call such numbers Ito-Sadahiro numbers and we compare their properties with Parry numbers, occurring in the same context for R\'enyi positive base numeration system.
Cite
@article{arxiv.1010.6181,
title = {Ito-Sadahiro numbers vs. Parry numbers},
author = {Zuzana Masáková and Edita Pelantová},
journal= {arXiv preprint arXiv:1010.6181},
year = {2010}
}
Comments
10 pages