论文标题
Univoque套装的Hausdorff距离
Hausdorff distance of univoque sets
论文作者
论文摘要
自Rényi引入以来,已经大量研究了非全能基地的扩张。它是由Erdős等人发现的。具有唯一扩展的数字集比整数基本案例中具有复杂的结构。目前的论文专门介绍了这些地图相对于Hausdorff度量的连续性。
Expansions in non-integer bases have been investigated abundantly since their introduction by Rényi. It was discovered by Erdős et al. that the sets of numbers with a unique expansion have a much more complex structure than in the integer base case. The present paper is devoted to the continuity properties of these maps with respect to the Hausdorff metric.