旋转beta扩展和施密特游戏

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-09-22 DOI:10.1007/s10474-025-01555-x

J. Caalim, H. Kaneko, N. Nollen

引用次数: 0

摘要

我们考虑维度1、2和4中的旋转beta展开，并将它们分别视为实数、复数和四元数的展开。我们给出了参数\(\alpha, \beta \in (0,1)\)的充分条件，使得由膨胀产生的特定缸组是赢或输施密特\((\alpha,\beta)\) -博弈。

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Rotational beta expansions and Schmidt games

We consider rotational beta expansions in dimensions 1, 2 and 4 and view them as expansions on real numbers, complex numbers, and quaternions, respectively. We give sufficient conditions on the parameters \(\alpha, \beta \in (0,1)\) so that particular cylinder sets arising from the expansions are winning or losing Schmidt \((\alpha,\beta)\)-game.

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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.