KMS Of Academy of mathematics and systems sciences, CAS
| SLE intersecting with random hulls | |
| Han, Yong1; Wang, Yuefei2,3; Zinsmeister, Michel4 | |
| 2019-04-01 | |
| 发表期刊 | COMPTES RENDUS MATHEMATIQUE
 |
| ISSN | 1631-073X |
| 卷号 | 357期号:4页码:395-400 |
| 摘要 | Lawler, Schramm, and Werner gave in 2003 an explicit formula of the probability that SLE(8/3) does not intersect a deterministic hull. For general SLE(kappa) with kappa not equal 8/3, no such explicit formula has been obtained so far. In this paper, we shall consider a random hull generated by an independent chordal conformal restriction measure and obtain an explicit formula for the probability that SLE(kappa) does not intersect this random hull for any kappa is an element of(0, 8). As a corollary, we will give a new proof of Werner's result on conformal restriction measures. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved. |
| DOI | 10.1016/j.crma.2019.04.005 |
| 语种 | 英语 |
| 资助项目 | NSF of China[11688101] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000468882700013 |
| 出版者 | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34792 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Yuefei |
| 作者单位 | 1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Univ Chinese Acad Sci, Beijing 100190, Peoples R China 4.Univ Orleans, IDP, BP 6759, F-45067 Orleans 2, France |
| 推荐引用方式 GB/T 7714 | Han, Yong,Wang, Yuefei,Zinsmeister, Michel. SLE intersecting with random hulls[J]. COMPTES RENDUS MATHEMATIQUE,2019,357(4):395-400. |
| APA | Han, Yong,Wang, Yuefei,&Zinsmeister, Michel.(2019).SLE intersecting with random hulls.COMPTES RENDUS MATHEMATIQUE,357(4),395-400. |
| MLA | Han, Yong,et al."SLE intersecting with random hulls".COMPTES RENDUS MATHEMATIQUE 357.4(2019):395-400. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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