On the law of the iterated logarithm for Brownian motion on compact manifolds

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（8）
• 页码范围: 1511-1518
• 页数: 8页
• 语种: 英文

摘要

By taking a functional analytic point of view,we consider a family of distributions (continuous linear functionals on smooth functions),denoted by {μt,t ＞ 0},associated to the law of the iterated logarithm for Brownian motion on a compact manifold.We give a complete characterization of the collection of limiting distributions of {μt,t ＞ 0}.