Distorted Brownian motions on space with varying dimension

doi:10.1214/22-EJP796

	Distorted Brownian motions on space with varying dimension
	Li, Liping 2; Lou, Shuwen 1
刊名	ELECTRONIC JOURNAL OF PROBABILITY
	2022
卷号	27 页码:32
关键词	distorted Brownian motions Dirichlet forms varying dimension heat kernel estimates
ISSN号	1083-6489
DOI	10.1214/22-EJP796
英文摘要	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.
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
语种	英语
出版者	INST MATHEMATICAL STATISTICS-IMS
WOS记录号	WOS:000817115700001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61202]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Liping
作者单位	1.Loyola Univ, Chicago, IL 60611 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, RCSDS, Beijing 100190, Peoples R China
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.