论文标题
thue-morse类型序列中的Cantor集和频率的差异
Difference of Cantor sets and frequencies in Thue--Morse type sequences
论文作者
论文摘要
在最近的一篇论文中，贝克和孔研究了Cantor套装与翻译的交集的Hausdorff维度。我们将其结果扩展到更通用的康托套件。这些证据依赖于非构成基础中唯一扩展中数字的频率。与此相关的是，我们引入了一种实用方法，以确定在thue-morse类型序列中任何给定有限块的频率。
In a recent paper, Baker and Kong have studied the Hausdorff dimension of the intersection of Cantor sets with their translations. We extend their results to more general Cantor sets. The proofs rely on the frequencies of digits in unique expansions in non-integer bases. In relation with this, we introduce a practical method to determine the frequency of any given finite block in Thue--Morse type sequences.
