Gaussian limit for determinantal point processes with J-Hermitian kernels
文献类型：期刊论文
| 作者 | Lin, Zhaofeng2; Qiu, Yanqi1,3; Wang, Kai4 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2022-10-25 |
| 页码 | 16 |
| 关键词 | determinantal point process J-Hermitian kernel linear statistics central limit theorem translation-invariant kernel |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-021-1977-x |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000877457500001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60710]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200438, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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