A family of non-sofic beta expansions
classification
🧮 math.NT
math.DS
keywords
betaassociatedcorrespondexpansionsfamilygeneralizationlastn-x-1
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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.
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