Conformal Restriction Measures on Loops Surrounding an Interior Point

doi:10.1007/s10473-021-0605-3

	Conformal Restriction Measures on Loops Surrounding an Interior Point
	Han, Yong 1; Wang, Yuefei 1,2
刊名	ACTA MATHEMATICA SCIENTIA
	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
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000714918800005
内容类型	期刊论文
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.