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Transcendence of dendric beta-expansions with pure discrete spectrum

Seo, Jihyuk et al.
arXiv (All) · Papers
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dynamical-systemsnumber-theory
We prove the transcendence of numbers that have $β$-expansions in algebraic bases $β$ belonging to dendric shifts with purely discrete spectrum, under certain combinatorial conditions on their directive sequences of substitutions. This includes Arnoux-Rauzy sequences on arbitrary alphabets and Cassa
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