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.Comment: 11pages, 4 figure

Akiyama, Shigeki

English

arXiv

Let ${\it\beta}_{n}&gt;1$ be a root of $x^{n}-x-1$ for $n=4,5,\ldots$ ; we will prove that ${\it\beta}_{n}$ is not a Parry number, i.e., the associated beta transformation does not correspond to a sofic symbolic system. A generalization is shown in the last section.</jats:p

SHIGEKI AKIYAMA

A family of non-sofic beta expansions

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