关于有限型中间β位移的稠密性
On the density of intermediate β-shifts of finite type
摘要：
我们确定了有限型的中间$β$ -移位集的结构。具体来说，我们表明，这一套是密集的参数空间$Δ= \{ (β, α) \in \mathbb{R}^{2} \colon β\in (1, 2) \; \text{and} \; 0 \leq α\leq 2 - β\}$。这推广了Parry从1960年起对贪婪和（规范化）懒惰$β$ -移位的经典结果。
英文摘要：
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 $Δ= \{ (β, α) \in \mathbb{R}^{2} \colon β\in (1, 2) \; \text{and} \; 0 \leq α\leq 2 - β\}$. This generalises the classical result of Parry from 1960 for greedy and (normalised) lazy $β$-shifts.
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