Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-09-11 DOI:10.1016/j.aim.2024.109943

Xuanji Hou , Yi Pan , Qi Zhou

引用次数: 0

Abstract

We establish a close connection between acceleration and dynamical degree for one-frequency quasi-periodic compact cocycles, by showing that two vectors derived separately from each coincide. Based on this, we provide a dynamical classification of one-frequency quasi-periodic $SO (3, R)$ -cocycles.

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解析一频准周期 SO(3,R)- 周期的动力学分类

我们通过证明两个分别导出的矢量重合，建立了单频准周期紧凑环的加速度和动力学度之间的紧密联系。在此基础上，我们提供了单频准周期 SO(3,R)- 周期的动力学分类。

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

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.