Sturmian words, β-shifts, and transcendence
classification
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math.DSmath.NT
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betashiftsturmiancharacterizecombinatorialconsidercontainingdynamical
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Consider the minimal $\beta$-shift containing the shift space generated by given Sturmian word. In this paper we characterize such $\beta$ and investigate its combinatorial, dynamical and topological properties and prove that such $\beta$ are transcendental numbers.
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