70 citations · 533 across the 26 of their papers we have counts for
9 papers · 1 filter
Spectral Density and Eigenvector Nonorthogonality in Complex Symmetric Random Matrices
Gernot Akemann, Yan V. Fyodorov, Dmitry V. Savin
Non-Hermitian random matrices with statistical spectral characteristics beyond the standard Ginibre ensembles have recently emerged in the description of dissipative quantum many-b…
Spectral moments of complex and symplectic non-Hermitian random matrices
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study non-Hermitian random matrices belonging to the symmetry classes of the complex and symplectic Ginibre ensemble, and present a unifying and systematic framework for analysi…
Logarithmic Spectral Distribution of a Non-Hermitian -Ensemble
Gernot Akemann, Francesco Mezzadri, Patricia Päßler +1
We introduce a non-Hermitian -ensemble and determine its spectral density in the limit of large and large matrix size . The ensemble is given by a general tridiagonal com…
Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
Gernot Akemann, Noah Aygün, Mario Kieburg +1
Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have…
Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Kohei Noda
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with indepe…
Consecutive level spacings in the chiral Gaussian unitary ensemble: From the hard and soft edge to the bulk
G. Akemann, V. Gorski, M. Kieburg
The local spectral statistics of random matrices forms distinct universality classes, strongly depending on the position in the spectrum. Surprisingly, the spacing between consecut…
Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature
Gernot Akemann, Tim R. Würfel
In the -regime of chiral perturbation theory the spectral correlations of the Euclidean QCD Dirac operator close to the origin can be computed using random matrix theo…
Universality Conjecture for all Airy, Sine and Bessel Kernels in the Complex Plane
G. Akemann, M. J. Phillips
We address the question of how the celebrated universality of local correlations for the real eigenvalues of Hermitian random matrices of size NxN can be extended to complex eigenv…
Gap Probabilities in Non-Hermitian Random Matrix Theory
G. Akemann, M. J. Phillips, L. Shifrin
We compute the gap probability that a circle of radius r around the origin contains exactly k complex eigenvalues. Four different ensembles of random matrices are considered: the G…