Sturmian words, $β$-shifts, and transcendence

Details Sturmian words, $β$-shifts, and transcendence Sturmian words, $β$-shifts, and transcendence

2003-08-14

arxiv.org/abs/math/0308140v1

Mathematics

Combinatorics

21 pages, Latex

Scientific paper

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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