Stationary measures and invariant subsets of homogeneous spaces (III)

• 成果类型: Article
• 署名作者: Benoist, Yves; Quint, Jean-Francois
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.178.3.5
• 发表日期: 2013
• 页码: 1017-1059
• 关键词: equidistribution; Orbits

摘要

Let G be a real Lie group, A be a lattice in G and F be a compactly generated closed subgroup of G. If the Zariski closure of the group Ad(F) is semisimple with no compact factor, we prove that every Gamma-orbit closure in G/Lambda is a finite volume homogeneous space. We also establish related equidistribution properties.