Effective version of Ratner's equidistribution theorem for SL(3, R)

• 成果类型: Article
• 署名作者: Yang, Lei
• 署名单位: Institute for Advanced Study - USA; National University of Singapore
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X; 1939-8980
• DOI: 10.4007/annals.2025.202.1.3
• 发表日期: 2025-07
• 页码: 189-264
• 关键词: homogeneous dynamics; unipotent orbits; equidistribution; effective Ratner's theorem; horocycle flow; unipotent subgroups; invariant-measures; measure rigidity; Orbits; distributions; averages; BEHAVIOR; SPACE

摘要

In this paper, we will prove an effective version of Ratner's equidistribution theorem for unipotent orbits in SL(3, R)/SL(3, Z) with a natural Diophantine condition.