Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
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Publication:2975040
DOI10.1088/1751-8121/aa5451zbMath1361.81051arXiv1608.04923OpenAlexW3106539618MaRDI QIDQ2975040
Maciej A. Nowak, Roland Speicher, Wojciech Tarnowski, Serban Teodor Belinschi
Publication date: 11 April 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.04923
Random matrices (probabilistic aspects) (60B20) General topics in linear spectral theory for PDEs (35P05) Random matrices (algebraic aspects) (15B52) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
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Cites Work
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- On the singular spectrum of powers and products of random matrices
- The single ring theorem
- Unveiling the significance of eigenvectors in diffusing non-Hermitian matrices by identifying the underlying Burgers dynamics
- Non-hermitian random matrix models
- Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism
- Non-hermitian random matrix theory: Method of hermitian reduction
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- Random regularization of Brown spectral measure
- Determinant theory in finite factors
- Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
- “Single ring theorem” and the disk-annulus phase transition
- Free Random Variables
- Eigenvalues distribution for products of independent spherical ensembles
- Lectures on the Combinatorics of Free Probability
- Brown measures of unbounded operators affiliated with a finite von Neumann algebra
- Perturbation Bounds for Determinants and Characteristic Polynomials
- An Introduction to Random Matrices
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Mode degeneracies and the petermann excess-noise factor for unstable lasers
- The Ginibre evolution in the large-N limit
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- Random Hermitian versus random non-Hermitian operators—unexpected links
- A note on mixed matrix moments for the complex Ginibre ensemble
