On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
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Publication:1989880
DOI10.1007/s00220-018-3163-3zbMath1448.60022arXiv1710.04699OpenAlexW3101206129WikidataQ129726962 ScholiaQ129726962MaRDI QIDQ1989880
Publication date: 29 October 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04699
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Cites Work
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- Eigenvalue attraction
- Unveiling the significance of eigenvectors in diffusing non-Hermitian matrices by identifying the underlying Burgers dynamics
- A note on biorthogonal ensembles
- On absolute moments of characteristic polynomials of a certain class of complex random matrices
- The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
- Spectral correlations of the massive QCD Dirac operator at finite temperature
- Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds
- Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach
- On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble
- On random matrix averages involving half-integer powers of GOE characteristic polynomials
- Rank one non-Hermitian perturbations of Hermitian \(\beta \)-ensembles of random matrices
- Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
- Nonlinear analogue of the May−Wigner instability transition
- Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
- Eigenvalue distributions of large Euclidean random matrices for waves in random media
- Hydrodynamic Stability Without Eigenvalues
- Averages of characteristic polynomials in random matrix theory
- Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
- A non-Hermitian Hamilton operator and the physics of open quantum systems
- How Many Eigenvalues of a Random Matrix are Real?
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- An exact formula for general spectral correlation function of random Hermitian matrices
- Random matrices close to Hermitian or unitary: overview of methods and results
- On characteristic polynomials for a generalized chiral random matrix ensemble with a source
- The smallest eigenvalue distribution in the real Wishart–Laguerre ensemble with even topology
- A note on mixed matrix moments for the complex Ginibre ensemble
- Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
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