Optimal lower bound on the least singular value of the shifted Ginibre ensemble
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Publication:2669254
DOI10.2140/pmp.2020.1.101zbMath1485.15041arXiv1908.01653OpenAlexW2966688770MaRDI QIDQ2669254
Dominik Schröder, László Erdős, Giorgio Cipolloni
Publication date: 9 March 2022
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01653
Random matrices (probabilistic aspects) (60B20) Numerical computation of matrix norms, conditioning, scaling (65F35) Random matrices (algebraic aspects) (15B52) Conditioning of matrices (15A12)
Related Items (11)
Fluctuations in the spectrum of non-Hermitian i.i.d. matrices ⋮ On the Condition Number of the Shifted Real Ginibre Ensemble ⋮ Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases ⋮ On the rightmost eigenvalue of non-Hermitian random matrices ⋮ Mesoscopic central limit theorem for non-Hermitian random matrices ⋮ Universality of the least singular value for the sum of random matrices ⋮ Fluctuation around the circular law for random matrices with real entries ⋮ The least singular value of the general deformed Ginibre ensemble ⋮ Density of small singular values of the shifted real Ginibre ensemble
Cites Work
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- Edge universality of beta ensembles
- Delocalization for a class of random block band matrices
- On the correlation function of the characteristic polynomials of the Hermitian Wigner ensemble
- Supersymmetry approach to Wishart correlation matrices: exact results
- Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
- Random matrices: The distribution of the smallest singular values
- The Ginibre ensemble of real random matrices and its scaling limits
- Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang
- The spectral radius of large random matrices
- Circular law
- The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
- Universal spectral correlations of the Dirac operator at finite temperature
- Universality at the edge of the spectrum in Wigner random matrices.
- Lower bounds for the smallest singular value of structured random matrices
- On the spectral radius of a random matrix: an upper bound without fourth moment
- Stability of the matrix Dyson equation and random matrices with correlations
- Density of states for random band matrices
- On the correlation functions of the characteristic polynomials of the Hermitian sample covariance matrices
- On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
- Characteristic polynomials for random band matrices near the threshold
- On the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries
- On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
- Invertibility of random matrices: norm of the inverse
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- Density of states for random band matrices in two dimensions
- On the second mixed moment of the characteristic polynomials of 1D band matrices
- The Littlewood-Offord problem and invertibility of random matrices
- Superbosonization of invariant random matrix ensembles
- Universality of the least singular value for sparse random matrices
- SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS
- NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES
- Smooth analysis of the condition number and the least singular value
- Rank 1 real Wishart spiked model
- Asymptotic correlations for Gaussian and Wishart matrices with external source
- Smoothed Analysis of the Condition Numbers and Growth Factors of Matrices
- RANDOM MATRICES: THE CIRCULAR LAW
- Eigenvalues and Condition Numbers of Random Matrices
- Eigenvalue statistics of random real matrices
- Power Law Decay for Systems of Randomly Coupled Differential Equations
- On characteristic polynomials for a generalized chiral random matrix ensemble with a source
- Invertibility via distance for noncentered random matrices with continuous distributions
- A comparison of the superbosonization formula and the generalized Hubbard–Stratonovich transformation
- An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
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