On the GFF with one free boundary condition

doi:10.1016/j.spl.2022.109699

	On the GFF with one free boundary condition
	Han, Yong 1; Wang, Yuefei 1,2; Wang, Zipeng 3
刊名	STATISTICS & PROBABILITY LETTERS
	2023-02-01
卷号	193 页码:8
关键词	SLE? Level line of GFF Mixed boundary conditions
ISSN号	0167-7152
DOI	10.1016/j.spl.2022.109699
英文摘要	In this note, we shall obtain an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition. Our proof of the main result relies on both the martingale methods, and finding out the explicit form of the solution of the partial differential equation derived from the Ito's calculus with extra efforts.(c) 2022 Elsevier B.V. All rights reserved.
资助项目	NSF of China ; NSF of Chongqing ; [12131016] ; [12201419] ; [CSTB2022BSXM- JCX0088] ; [CSTB2022NSCQ-MSX0321]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000875779100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60817]
专题	中国科学院数学与系统科学研究院
通讯作者	Han, Yong
作者单位	1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
推荐引用方式 GB/T 7714	Han, Yong,Wang, Yuefei,Wang, Zipeng. On the GFF with one free boundary condition[J]. STATISTICS & PROBABILITY LETTERS,2023,193:8.
APA	Han, Yong,Wang, Yuefei,&Wang, Zipeng.(2023).On the GFF with one free boundary condition.STATISTICS & PROBABILITY LETTERS,193,8.
MLA	Han, Yong,et al."On the GFF with one free boundary condition".STATISTICS & PROBABILITY LETTERS 193(2023):8.