Distorted Brownian motions on space with varying dimension
文献类型：期刊论文
| 作者 | Li, Liping2 ; Lou, Shuwen1
|
| 刊名 | ELECTRONIC JOURNAL OF PROBABILITY
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000817115700001 |
| 出版者 | INST MATHEMATICAL STATISTICS-IMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61202]  |
| 专题 | 应用数学研究所 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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