Limit theorems for translation flows

• 成果类型: Article
• 署名作者: Bufetov, Alexander I.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.179.2.2
• 发表日期: 2014
• 页码: 431-499
• 关键词: interval exchange transformations; area-preserving flows; metric theory; cohomological equation; affine interval; MODULI SPACES; distributions; deviation; averages; cocycles

摘要

The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus (Theorem 1) and to give a limit theorem for these flows (Theorem 2).