Distorted Brownian motions on space with varying dimension

doi:10.1214/22-EJP796

CSpace > 应用数学研究所

	Distorted Brownian motions on space with varying dimension
	Li, Liping1 ; Lou, Shuwen 2
	2022
发表期刊	ELECTRONIC JOURNAL OF PROBABILITY
ISSN	1083-6489
卷号	27 页码:32
摘要	In this paper we introduce and study distorted Brownian motion on state spaces with varying dimension (dBMV in abbreviation). Roughly speaking, the state space of dBMV is embedded in R-4 and consists of two components: a 3-dimensional component and a 1-dimensional component. These two parts are joined together at the origin. 3-dimensional dBMV models homopolymer with attractive potential at the origin and has been studied in [9], [8], [7]. dBMV restricted on the 1-dimensional component can be viewed as a Brownian motion with drift of Kato-class type. Such a process with varying dimensional can be concisely characterized in terms of Dirichlet forms. Using the method of radial process developed in [5] combined with some calculation specifically for dBMV, we get its short-time heat kernel estimates.
关键词	distorted Brownian motions Dirichlet forms varying dimension heat kernel estimates
DOI	10.1214/22-EJP796
收录类别	SCI
语种	英语
资助项目	NSFC[11688101] ; NSFC[11801546] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000817115700001
出版者	INST MATHEMATICAL STATISTICS-IMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61203
专题	应用数学研究所
通讯作者	Li, Liping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, RCSDS, Beijing 100190, Peoples R China 2.Loyola Univ, Chicago, IL 60611 USA
推荐引用方式 GB/T 7714	Li, Liping,Lou, Shuwen. Distorted Brownian motions on space with varying dimension[J]. ELECTRONIC JOURNAL OF PROBABILITY,2022,27:32.
APA	Li, Liping,&Lou, Shuwen.(2022).Distorted Brownian motions on space with varying dimension.ELECTRONIC JOURNAL OF PROBABILITY,27,32.
MLA	Li, Liping,et al."Distorted Brownian motions on space with varying dimension".ELECTRONIC JOURNAL OF PROBABILITY 27(2022):32.