Zhaofeng Lin

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math.PR2022

Truncations of random unitary matrices drawn from Hua-Pickrell distribution

Zhaofeng Lin, Yanqi Qiu, Kai Wang

Let $U$ be a random unitary matrix drawn from the Hua-Pickrell distribution $μ_{U (n + m)}^{(δ)}$ on the unitary group $U (n + m)$ . We show that the eigenvalues of the…

math.PR2022

Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles

Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin

We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian a…

math.PR2021

Gaussian limit for determinantal point processes with $J$ -Hermitian kernels

Zhaofeng Lin, Yanqi Qiu, Kai Wang

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…

Truncations of random unitary matrices drawn from Hua-Pickrell distribution

Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles

Gaussian limit for determinantal point processes with J-Hermitian kernels

Gaussian limit for determinantal point processes with $J$ -Hermitian kernels