| On The Brownian Loop Measure | |
Han, Yong1; Wang, Yuefei2,3 ; Zinsmeister, Michel4
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| 2019-06-01 | |
| 发表期刊 | JOURNAL OF STATISTICAL PHYSICS
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| ISSN | 0022-4715 |
| 卷号 | 175期号:5页码:987-1005 |
| 摘要 | In 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. In 2006 Cardy and Gamsa predicted a formula for the total mass that the Brownian loop measure assigns to the set of simple loops in the upper half plane disconnecting two given points from the boundary. In this paper we give a rigorous proof of this formula. Moreover, we present several applications of the formula to conformal restriction measures and CLE. |
| 关键词 | Brownian loop measure SLE bubble measure Brownian bubble measure Cardy-Gamsa's formula |
| DOI | 10.1007/s10955-019-02275-7 |
| 语种 | 英语 |
| 资助项目 | Universite d'Orleans (FR) Institut Denis Poisson ; University of Chinese Academy of Sciences[11688101] ; Universite d'Orleans |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Mathematical |
| WOS记录号 | WOS:000470682700008 |
| 出版者 | SPRINGER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34858 |
| 专题 | 数学所 |
| 通讯作者 | Han, Yong |
| 作者单位 | 1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 4.Univ Orleans Orleans, COST, Inst Denis Poisson, BP 6759, F-45067 Orleans, France |
| 推荐引用方式 GB/T 7714 | Han, Yong,Wang, Yuefei,Zinsmeister, Michel. On The Brownian Loop Measure[J]. JOURNAL OF STATISTICAL PHYSICS,2019,175(5):987-1005. |
| APA | Han, Yong,Wang, Yuefei,&Zinsmeister, Michel.(2019).On The Brownian Loop Measure.JOURNAL OF STATISTICAL PHYSICS,175(5),987-1005. |
| MLA | Han, Yong,et al."On The Brownian Loop Measure".JOURNAL OF STATISTICAL PHYSICS 175.5(2019):987-1005. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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