Gaussian limit for determinantal point processes with $J$-Hermitian kernels
Probability
2021-01-05 v1
Abstract
We show that the central limit theorem for linear statistics over determinantal point processes with -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 when the correlation kernels are -Hermitian translation-invariant.
Cite
@article{arxiv.2101.00384,
title = {Gaussian limit for determinantal point processes with $J$-Hermitian kernels},
author = {Zhaofeng Lin and Yanqi Qiu and Kai Wang},
journal= {arXiv preprint arXiv:2101.00384},
year = {2021}
}
Comments
18 pages