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math.PR2022
Truncations of random unitary matrices drawn from Hua-Pickrell distribution
Zhaofeng Lin, Yanqi Qiu, Kai Wang
Let be a random unitary matrix drawn from the Hua-Pickrell distribution on the unitary group . 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…