Universality at Weak and Strong Non-Hermiticity Beyond the Elliptic Ginibre Ensemble

@article{Akemann2016UniversalityAW,
  title={Universality at Weak and Strong Non-Hermiticity Beyond the Elliptic Ginibre Ensemble},
  author={G. Akemann and M. Cikovic and Martin Venker},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={362},
  pages={1111-1141}
}
We consider non-Gaussian extensions of the elliptic Ginibre ensemble of complex non-Hermitian random matrices by fixing the trace Tr(XX*) of the matrix X with a hard or soft constraint. These ensembles have correlated matrix entries and non-determinantal joint densities of the complex eigenvalues. We study global and local bulk statistics in these ensembles, in particular in the limit of weak non-Hermiticity introduced by Fyodorov, Khoruzhenko and Sommers. Here, the support of the limiting… Expand
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