On the density of intermediate β-shifts of finite type
Abstract
We determine the structure of the set of intermediate β-shifts of finite type. Specifically, we show that this set is dense in the parameter space = \ (β, α) ∈ R2 β ∈ (1, 2) \; and \; 0 ≤ α ≤ 2 - β\. This generalises the classical result of Parry from 1960 for greedy and (normalised) lazy β-shifts.
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