摘要
We study the asymptotic behavior for log-determinants of two unitary but non-Hermitian random matrices： the spherical ensembles A-1B, where A and B are independent complex Ginibre ensembles and the truncation of circular unitary ensembles. The corresponding Berry-Esseen bounds and Cram6r type moderate deviations are established. Our method is based on the estimates of corresponding cumulants. Numerical simulations are also presented to illustrate the theoretical results.
We study the asymptotic behavior for log-determinants of two unitary but non-Hermitian random matrices： the spherical ensembles A-1B, where A and B are independent complex Ginibre ensembles and the truncation of circular unitary ensembles. The corresponding Berry-Esseen bounds and Cram6r type moderate deviations are established. Our method is based on the estimates of corresponding cumulants. Numerical simulations are also presented to illustrate the theoretical results.
