Non-Hermitian Random Matrix Ensembles

zbMath1236.15069arXiv0911.5645MaRDI QIDQ3105258

Hans-Jürgen Sommers, Boris. A. Khoruzhenko

Publication date: 5 January 2012

Full work available at URL: https://arxiv.org/abs/0911.5645

zbMATH Keywords

elliptic deformationsquaternioneigenvalue correlationsGinibre random matrix ensemblesweakly non-Hermitian limits

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (13)

Dynamics of a planar Coulomb gas ⋮ Universal eigenvector correlations in quaternionic Ginibre ensembles ⋮ Concentration for Coulomb gases and Coulomb transport inequalities ⋮ Nonlinear analogue of the May−Wigner instability transition ⋮ On Gaussian random matrices coupled to the discrete Laplacian ⋮ Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature ⋮ Large deviations of radial statistics in the two-dimensional one-component plasma ⋮ Matrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices ⋮ A rate of convergence for the circular law for the complex Ginibre ensemble ⋮ The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles ⋮ From Boltzmann to random matrices and beyond ⋮ Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels ⋮ Edge distribution of thinned real eigenvalues in the real Ginibre ensemble

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