Stable ergodicity of certain linear automorphisms of the torus

• 成果类型: Article
• 署名作者: Hertz, FR
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.162.65
• 发表日期: 2005
• 页码: 65-107
• 关键词: diffeomorphisms

摘要

We find a class of ergodic linear automorphisms of T-N that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when N = 4. As a corollary, we obtain the fact that all ergodic linear automorphism of T-N are stably ergodic when N <= 5.