KMS Of Academy of mathematics and systems sciences, CAS
Conformal Restriction Measures on Loops Surrounding an Interior Point | |
Han, Yong1; Wang, Yuefei1,2 | |
2021-11-01 | |
发表期刊 | ACTA MATHEMATICA SCIENTIA |
ISSN | 0252-9602 |
卷号 | 41期号:6页码:1873-1886 |
摘要 | A conformal restriction measure is a probability measure which is used to describe the law of a random connected subset in a simply connected domain that satisfies a certain conformal restriction property. Usually there are three kinds of conformal restriction measures: one (called the chordal restriction measure) has two given boundary points of the random set, the second (called the radial restriction measure) has one boundary point and one interior point in the random set, and the third (called the tri-chordal restriction measure) has three boundary points in the random set. In this article, we will define a new probability measure such that the random set associated to it contains one given interior point and does not intersect with the boundary. Furthermore, we will show that this measure can be characterized by one parameter; we will also construct this one-parameter family of measures in two ways and obtain several properties. |
关键词 | self-avoiding loops conformal restriction measure SLE Brownian loop measure |
DOI | 10.1007/s10473-021-0605-3 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | NSFC[11688101] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000714918800005 |
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/59556 |
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.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Han, Yong,Wang, Yuefei. Conformal Restriction Measures on Loops Surrounding an Interior Point[J]. ACTA MATHEMATICA SCIENTIA,2021,41(6):1873-1886. |
APA | Han, Yong,&Wang, Yuefei.(2021).Conformal Restriction Measures on Loops Surrounding an Interior Point.ACTA MATHEMATICA SCIENTIA,41(6),1873-1886. |
MLA | Han, Yong,et al."Conformal Restriction Measures on Loops Surrounding an Interior Point".ACTA MATHEMATICA SCIENTIA 41.6(2021):1873-1886. |
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