| On The Brownian Loop Measure | |
Han, Yong1; Wang, Yuefei2,3 ; Zinsmeister, Michel4
| |
| 2019-06-01 | |
| Source Publication | JOURNAL OF STATISTICAL PHYSICS
 |
| ISSN | 0022-4715 |
| Volume | 175Issue:5Pages:987-1005 |
| Abstract | 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. |
| Keyword | Brownian loop measure SLE bubble measure Brownian bubble measure Cardy-Gamsa's formula |
| DOI | 10.1007/s10955-019-02275-7 |
| Language | 英语 |
| Funding Project | Universite d'Orleans (FR) Institut Denis Poisson ; University of Chinese Academy of Sciences[11688101] ; Universite d'Orleans |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000470682700008 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34858 |
| Collection | 数学所 |
| Corresponding Author | Han, Yong |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment