A family of non-sofic beta expansions
Number Theory
2019-02-20 v1 Dynamical Systems
Abstract
Let \beta_n>1 be a root of x^n-x-1 for n=4,5,... We will prove that \beta_n is not a Parry number, i.e., the associated beta transformation does not correspond a sofic symbolic system. A generalization is shown in the last section.
Cite
@article{arxiv.1401.6329,
title = {A family of non-sofic beta expansions},
author = {Shigeki Akiyama},
journal= {arXiv preprint arXiv:1401.6329},
year = {2019}
}
Comments
11pages, 4 figures