Comparison theorems for Brownian motions on Riemannian manifolds and their applications
Comparison theorems for Brownian motions on Riemannian manifolds and their applications
复制标题
黎曼流形上布朗运动的比较定理及其应用
DOI：
10.1016/0047-259x(88)90034-6
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发表时间：
1988
影响因子：
1.6
通讯作者：
Kanji Ichihara
中科院分区：
文献类型：
--
作者：
Kanji Ichihara
通过与模型上布朗运动转移概率的比较，给出了完全Riemannian流形上布朗运动转移概率的全局下估计。应用这个估计，得到了某些黎曼流形上布朗运动的大范围迭代解的规律。
A global lower estimate for the transition probability of the Brownian motion on a complete Riemannian manifold is given in the form of a comparison with the transition probability of the Brownian motion on a model. This estimate is applied to obtain the laws of the iterated logarithms in the large for Brownian motion on certain Riemannian manifolds.