On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold

doi:10.3150/21-BEJ1420

	On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold
	Gong, Fuzhou 1,2; Sun, Xiaoxia 3
刊名	BERNOULLI
	2022-11-01
卷号	28 期号:4 页码:2322-2344
关键词	Brownian bridge pull back formula integration by parts formula characterization
ISSN号	1350-7265
DOI	10.3150/21-BEJ1420
英文摘要	In this paper, we focus on the characterization of a Brownian bridge measure on the pinned path space over a compact Riemannian manifold. In the case when the Riemannian manifold is simply connected, we prove that the integration by parts formula can characterize the Brownian bridge measure. Otherwise, we show that it is not always true by constructing an illustrating example.
资助项目	National Natural Science Foundation of China[11801064]
WOS研究方向	Mathematics
语种	英语
出版者	INT STATISTICAL INST
WOS记录号	WOS:000843190100008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61049]
专题	中国科学院数学与系统科学研究院
通讯作者	Gong, Fuzhou
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Dongbei Univ Finance & Econ, Sch Data Sci & Artificial Intelligence, Dalian, Peoples R China
推荐引用方式 GB/T 7714	Gong, Fuzhou,Sun, Xiaoxia. On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold[J]. BERNOULLI,2022,28(4):2322-2344.
APA	Gong, Fuzhou,&Sun, Xiaoxia.(2022).On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold.BERNOULLI,28(4),2322-2344.
MLA	Gong, Fuzhou,et al."On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold".BERNOULLI 28.4(2022):2322-2344.