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Sturmian words, $β$-shifts, and transcendence

Dong Pyo Chi·DoYong Kwon
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Abstract

Consider the minimal $β$-shift containing the shift space generated by given Sturmian word. In this paper we characterize such $β$ and investigate its combinatorial, dynamical and topological properties and prove that such $β$ are transcendental numbers.

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Dong Pyo Chi, DoYong Kwon. 2003-08-14. Sturmian words, $β$-shifts, and transcendence. https://arxiv.org/abs/math/0308140

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