论文标题

Univoque套装的Hausdorff距离

Hausdorff distance of univoque sets

论文作者

Cai, Yi, Komornik, Vilmos

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.

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