Exponential mixing implies Bernoulli

• 成果类型: Article
• 署名作者: Dolgopyat, D.; Kanigowski, A.; Hertz, F. Rodriguez
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2024.199.3.5
• 发表日期: 2024
• 页码: 1225-1292
• 关键词: markov structures; group extensions; skew products; systems; attractors; DYNAMICS; STATES; FLOWS; weak

摘要

Let f be a C 1+ alpha diffeomorphism of a compact manifold M preserving a smooth measure mu . We show that if f : ( M, mu ) -> ( M, mu ) is exponentially mixing, then it is Bernoulli.