Microscopic Parametric Correlations and Spectral Rigidity in the Non-Hermitian Threefold Way
The study investigates microscopic spectral correlations between nearby parameter values in three non-Hermitian Gaussian bulk classes (A, AI†, AII†). It derives exact finite-N integral representations and microscopic two-time kernels that govern how spectral positions and eigenvalue counts evolve over time. These kernels reveal rigidity coefficients and show that eigenvector nonorthogonality drives short-time spectral diffusion.