旋转间隔交换变换

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02334-7

Alexey Teplinsky

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引用次数: 0

摘要

我们证明了旋转区间交换变换的两个可能定义的等价性：根据第一个定义，这是将圆旋转到有限多个圆弧的联合体上的第一个返回映射，而根据第二个定义，这是与一个方案（在区间重排集合的意义上）的区间交换，其对偶也是一个区间交换方案。

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Rotational Interval Exchange Transformations

We prove the equivalence of two possible definitions of rotational interval exchange transformations: by the first definition, this is the first return map for the rotation of a circle onto a union of finitely many circle arcs, whereas by the second definition, this is an interval exchange with a scheme (in a sense of interval rearrangement ensemble) whose dual is also an interval exchange scheme.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.