论文标题
Kakeya序列的最佳扩展
Optimal expansions of Kakeya sequences
论文作者
论文摘要
我们研究了Kakeya序列的最佳扩展,以表示实数。 Kakeya序列的膨胀概括了非全能碱基中的扩展,它们显示出类似的冗余现象。在本文中,我们表征了Kakeya序列的最佳扩展,并为Kakeya序列存在独特的扩展提供了条件。
We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeya sequences.