Every ergodic transformation is disjoint from almost every interval exchange transformation

• 成果类型: Article
• 署名作者: Chaika, Jon
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.1.6
• 发表日期: 2012
• 页码: 237-253
• 关键词: flows

摘要

We show that every transformation is disjoint from almost every interval exchange transformation (JET), answering a question of Bufetov. In particular, we prove that almost every pair of IETs is disjoint. It follows that the product of almost every pair is uniquely ergodic. A key step in the proof is showing that any sequence of density 1 contains a rigidity sequence for almost every JET, strengthening a result of Veech.