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A family of non-sofic beta expansions
Published online by Cambridge University Press: 04 August 2014
Abstract
Let ${\it\beta}_{n}>1$ 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.
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- © Cambridge University Press, 2014
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