Derives closed-form parametric number covariance for non-Hermitian Ginibre ensembles with finite eigenvalues in the bulk.
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Finite-N derivation of eigenvalue density in interpolating non-Hermitian ensemble reveals transitional edge regime at σ = 1 - κ N^{-1/2} conjectured to be universal.
A new flowing matrix model shows numerically that the Single Ring Theorem breaks at a critical flow parameter toward normality, while singular-value spacing statistics shift from Wigner-Dyson to Poissonian.
A review summarizing random matrix approaches to scattering matrices, resonances, time delays, and universal statistics in open chaotic wave systems governed by symmetry and channel coupling.
Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.
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Parametric correlations in non-Hermitian quantum chaos: random matrix approach
Derives closed-form parametric number covariance for non-Hermitian Ginibre ensembles with finite eigenvalues in the bulk.
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Interpolating non-Hermitian universality classes A and AI$^\dagger$: eigenvalue density and transition regime
Finite-N derivation of eigenvalue density in interpolating non-Hermitian ensemble reveals transitional edge regime at σ = 1 - κ N^{-1/2} conjectured to be universal.
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Flowing to Normality and the Fate of the Single Ring Theorem
A new flowing matrix model shows numerically that the Single Ring Theorem breaks at a critical flow parameter toward normality, while singular-value spacing statistics shift from Wigner-Dyson to Poissonian.
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Random Matrix Theory for Chaotic Wave Scattering and Transport
A review summarizing random matrix approaches to scattering matrices, resonances, time delays, and universal statistics in open chaotic wave systems governed by symmetry and channel coupling.
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Quantum chaotic systems: a random-matrix approach
Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.