Optimal expansions of Kakeya sequences

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-09-23 DOI:10.1007/s10474-024-01453-8

A. C. Lai, P. Loreti

引用次数: 0

Abstract

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.

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Kakeya 序列的最优展开

我们研究了用于表示实数的 Kakeya 序列的最优展开。Kakeya 序列的展开概括了非整数基中的展开，并显示出类似的冗余现象。在本文中，我们描述了 Kakeya 序列的最优展开，并为 Kakeya 序列唯一展开的存在提供了条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.