CENTRAL-LIMIT-THEOREM IN NEGATIVE CURVATURE

• 成果类型: Article
• 署名作者: LEDRAPPIER, F
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988181
• 发表日期: 1995
• 页码: 1219-1233
• 关键词: Manifolds; foliations

摘要

We prove a central limit theorem for the distance of the Brownian point on the universal cover of a compact negatively curved Riemannian manifold. The technical point is a contraction property for the leafwise Brownian motion along the stable foliation.