环上部分双曲阿贝尔作用的非刚性

IF 0.8 3区数学 Q2 MATHEMATICS

Ergodic Theory and Dynamical Systems Pub Date : 2024-09-09 DOI:10.1017/etds.2024.18

FEDERICO RODRIGUEZ HERTZ, ZHIREN WANG

引用次数: 0

摘要

我们证明，每一个真正的部分双曲$\mathbb {Z}^r$ -作用的环自动形都可以在$C^1$ -拓扑中被扰动，这样得到的作用与原始作用是连续共轭的，但不是$C^1$ -共轭的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Non-rigidity of partially hyperbolic abelian -actions on tori

We prove that every genuinely partially hyperbolic

$\mathbb {Z}^r$

-action by toral automorphisms can be perturbed in

$C^1$

-topology, so that the resulting action is continuously conjugate, but not

$C^1$

-conjugate, to the original one.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Ergodic Theory and Dynamical Systems 数学-数学

CiteScore

1.70

自引率

11.10%

发文量

113

审稿时长

6-12 weeks

期刊介绍： Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.