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Conformal Restriction Measures on Loops Surrounding an Interior Point

文献类型：期刊论文

作者Han, Yong1; Wang, Yuefei1,2
刊名ACTA MATHEMATICA SCIENTIA
出版日期2021-11-01
卷号41期号:6页码:1873-1886
关键词self-avoiding loops conformal restriction measure SLE Brownian loop measure
ISSN号0252-9602
DOI10.1007/s10473-021-0605-3
英文摘要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.
资助项目NSFC[11688101]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000714918800005
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59555]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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