A family of non-sofic beta expansions
arXiv:1401.6329 · doi:10.1017/etds.2014.60
Abstract
Let β_n>1 be a root of x^n-x-1 for n=4,5,... We will prove that β_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.
11pages, 4 figures