# Truncations of random symplectic unitary matrices

@inproceedings{Khoruzhenko2021TruncationsOR, title={Truncations of random symplectic unitary matrices}, author={Boris A. Khoruzhenko and Serhii Lysychkin}, year={2021} }

This paper is concerned with complex eigenvalues of truncated unitary quaternion matrices equipped with the Haar measure. The joint eigenvalue probability density function is obtained for truncations of any size. We also obtain the spectral density and the eigenvalue correlation functions in various scaling limits. In the limit of strong non-unitarity the universal complex Ginibre form of the correlation functions is recovered in the spectral bulk off the real line after unfolding the spectrum…

## 9 Citations

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