Gaussian limit for determinantal point processes with J-Hermitian kernels

2021/01/02 by Zhaofeng Lin, Lin, Zhaofeng, Yanqi Qiu +3
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.2101.00384

18 pages

arxiv created 2021/01/02 · arxiv updated 2021/01/05

Abstract

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 Gaussian limit for linear statistics over determinantal point processes on union of two copies of ℝ^d when the correlation kernels are J-Hermitian translation-invariant.

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