BRATTELI–VERSHIKISABILITY OF POLYGONAL BILLIARDS ON THE HYPERBOLIC PLANE

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of the Australian Mathematical Society Pub Date : 2023-12-15 DOI:10.1017/s1446788723000174

ANIMA NAGAR, PRADEEP SINGH

引用次数: 0

Abstract

Bratteli–Vershik models of compact, invertible zero-dimensional systems have been well studied. We take up such a study for polygonal billiards on the hyperbolic plane, thus considering these models beyond zero-dimensions. We describe the associated Bratteli models and show that these billiard dynamics can be described by Vershik maps.

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双曲面上多边形台球的布拉泰利-反希基可变性

对紧凑、可反转零维系统的布拉泰利-韦希克模型已有深入研究。我们对双曲面上的多边形台球进行了这样的研究，从而考虑了这些超出零维的模型。我们描述了相关的布拉泰利模型，并证明这些台球动力学可以用 Vershik 映射来描述。

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

Journal of the Australian Mathematical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of the Australian Mathematical Society is the oldest journal of the Society, and is well established in its coverage of all areas of pure mathematics and mathematical statistics. It seeks to publish original high-quality articles of moderate length that will attract wide interest. Papers are carefully reviewed, and those with good introductions explaining the meaning and value of the results are preferred. Published Bi-monthly Published for the Australian Mathematical Society