Gaussian limit for determinantal point processes with J-Hermitian kernels  

作　　者：Zhaofeng Lin Yanqi Qiu Kai Wang 

机构地区：[1]Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200438,China [2]Institute of Mathematics and Hua Loo-Keng Key Laboratory of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Science China Mathematics》2023年第6期1359-1374,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.Y7116335K1,11801547 and 11688101);supported by National Natural Science Foundation of China (Grant Nos.11722102 and 12026250);Shanghai Technology Innovation Project (Grant No.21JC1400800);Laboratory of Mathematics for Nonlinear Science,Ministry of Education of China。

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 Rdwhen the correlation kernels are J-Hermitian translation-invariant.

关 键 词：determinantal point process J-Hermitian kernel linear statistics central limit theorem translation-invariantkernel 

分 类 号：O177[理学—数学]