关于univoque self-Sturmian数的注记
A note on univoque self-Sturmian numbers
摘要：
我们比较两组（无限）的二进制序列的后缀满足极值条件：一个发生在研究迭代的单峰连续映射从单位区间到自身，但它也univoque实数的特点;另一个是一个等价的定义的特征Sturmian序列。作为我们研究的一个推论，我们得到了在$(1,2)$中的一个实数$β$是唯一的和自Sturmian的当且仅当1的$β$ -展开式是$1v$的形式，其中$v$是一个以1开始的特征Sturmian序列。
英文摘要：
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of a unimodal continuous map from the unit interval into itself, but it also characterizes univoque real numbers; the other is an equivalent definition of characteristic Sturmian sequences. As a corollary to our study we obtain that a real number $β$ in $(1,2)$ is univoque and self-Sturmian if and only if the $β$-expansion of 1 is of the form $1v$, where $v$ is a characteristic Sturmian sequence beginning itself in 1.
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