Dirichlet forms and polymer models based on stable processes
文献类型：期刊论文
| 作者 | Li, Liping2 ; Li, Xiaodan1
|
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 2020-10-01 |
| 卷号 | 130期号:10页码:5940-5972 |
| 关键词 | Dirichlet forms Polymer models Self-adjoint extensions Stable processes |
| ISSN号 | 0304-4149 |
| DOI | 10.1016/j.spa.2020.04.011 |
| 英文摘要 | In this paper, we are concerned with polymer models based on a-stable processes, where alpha is an element of (d/2, d (<^>) 2) and d stands for dimension. They are attached with a delta potential at the origin and the associated Gibbs measures are parametrized by a constant gamma is an element of R boolean OR {-infinity} playing the role of inverse temperature. Phase transition exhibits with critical value gamma(cr) = 0. Our first object is to formulate the associated Dirichlet form of the canonical Markov process X-(gamma) induced by the Gibbs measure for a globular state gamma > 0 or the critical state gamma = 0. Approach of Dirichlet forms also leads to deeper descriptions of their probabilistic counterparts. Furthermore, we will characterize the behaviour of polymer near the critical point from probabilistic viewpoint by showing that X-(gamma) is convergent to X-(0) as gamma down arrow 0 in a certain meaning. (C) 2020 Elsevier B.V. All rights reserved. |
| 资助项目 | NSFC, China[11871162] ; Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China[2008DP173182] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000562734000003 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52018]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Xiaodan |
| 作者单位 | 1.Fudan Univ, Shanghai 200433, Peoples R China 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,Li, Xiaodan. Dirichlet forms and polymer models based on stable processes[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2020,130(10):5940-5972. |
| APA | Li, Liping,&Li, Xiaodan.(2020).Dirichlet forms and polymer models based on stable processes.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,130(10),5940-5972. |
| MLA | Li, Liping,et al."Dirichlet forms and polymer models based on stable processes".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 130.10(2020):5940-5972. |
入库方式： OAI收割
来源：数学与系统科学研究院
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