Gaussian limit for determinantal point processes with J-Hermitian kernels

doi:10.1007/s11425-021-1977-x

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	Gaussian limit for determinantal point processes with J-Hermitian kernels
	Lin, Zhaofeng 1; Qiu, Yanqi 2,3; Wang, Kai 4
	2022-10-25
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	16
摘要	We show that the central limit theorem for linear statistics over determinantal point processes with J-Hermitian kernels holds under fairly general conditions. In particular, we establish the Gaussian limit for linear statistics over determinantal point processes on the union of two copies of Double-struck capital R-d when the correlation kernels are J-Hermitian translation-invariant.
关键词	determinantal point process J-Hermitian kernel linear statistics central limit theorem translation-invariant kernel
DOI	10.1007/s11425-021-1977-x
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11722102] ; National Natural Science Foundation of China[12026250] ; Shanghai Technology Innovation Project[21JC1400800] ; Laboratory of Mathematics for Nonlinear Science, Ministry of Education of China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000877457500001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60711
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Kai
作者单位	1.Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200438, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Lin, Zhaofeng,Qiu, Yanqi,Wang, Kai. Gaussian limit for determinantal point processes with J-Hermitian kernels[J]. SCIENCE CHINA-MATHEMATICS,2022:16.
APA	Lin, Zhaofeng,Qiu, Yanqi,&Wang, Kai.(2022).Gaussian limit for determinantal point processes with J-Hermitian kernels.SCIENCE CHINA-MATHEMATICS,16.
MLA	Lin, Zhaofeng,et al."Gaussian limit for determinantal point processes with J-Hermitian kernels".SCIENCE CHINA-MATHEMATICS (2022):16.