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Gaussian limit for determinantal point processes with J-Hermitian kernels
Lin, Zhaofeng1; Qiu, Yanqi2,3; Wang, Kai4
2022-10-25
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Pages16
AbstractWe 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.
Keyworddeterminantal point process J-Hermitian kernel linear statistics central limit theorem translation-invariant kernel
DOI10.1007/s11425-021-1977-x
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000877457500001
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60711
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWang, Kai
Affiliation1.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
Recommended Citation
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.
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