Fluctuation around the circular law for random matrices with real entries
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Publication:2042871
DOI10.1214/21-EJP591zbMath1477.60016arXiv2002.02438OpenAlexW3157766147MaRDI QIDQ2042871
Dominik Schröder, László Erdős, Giorgio Cipolloni
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02438
Related Items (13)
Partial Linear Eigenvalue Statistics for Non-Hermitian Random Matrices ⋮ Fluctuations in the spectrum of non-Hermitian i.i.d. matrices ⋮ Convergence of the spectral radius of a random matrix through its characteristic polynomial ⋮ On the Condition Number of the Shifted Real Ginibre Ensemble ⋮ Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices ⋮ The dissipative spectral form factor for I.I.D. matrices ⋮ Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ 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 ⋮ Quenched universality for deformed Wigner matrices ⋮ Mesoscopic central limit theorem for non-Hermitian random matrices ⋮ A review of exact results for fluctuation formulas in random matrix theory ⋮ Density of small singular values of the shifted real Ginibre ensemble
Cites Work
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- Central limit theorem for linear eigenvalue statistics of elliptic random matrices
- The local semicircle law for a general class of random matrices
- Local circular law for random matrices
- Around the circular law
- Gap universality of generalized Wigner and \(\beta\)-ensembles
- The eigenvector moment flow and local quantum unique ergodicity
- Rigidity of eigenvalues of generalized Wigner matrices
- Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
- Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices
- Circular law, extreme singular values and potential theory
- Gaussian fluctuations for non-Hermitian random matrix ensembles
- The circular law for random matrices
- 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
- 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
- Fixed energy universality of Dyson Brownian motion
- Local inhomogeneous circular law
- Deviations from the circular law
- The spectrum edge of random matrix ensembles.
- Correlated random matrices: band rigidity and edge universality
- Rigidity and a mesoscopic central limit theorem for Dyson Brownian motion for general \(\beta\) and potentials
- Local spectral statistics of the addition of random matrices
- Cusp universality for random matrices. II: The real symmetric case
- Random matrices: universality of local spectral statistics of non-Hermitian matrices
- Random matrices: law of the determinant
- Complex determinantal processes and \(H^1\) noise
- Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem
- Universality of the least singular value for sparse random matrices
- Gaussian free fields for mathematicians
- Optimal lower bound on the least singular value of the shifted Ginibre ensemble
- Fixed Energy Universality for Generalized Wigner Matrices
- Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs
- Central limit theorems for the real eigenvalues of large Gaussian random matrices
- Smooth analysis of the condition number and the least singular value
- Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
- RANDOM MATRICES: THE CIRCULAR LAW
- Matrix averages relating to Ginibre ensembles
- An Introduction to Random Matrices
- Fluctuation formula for complex random matrices
- How Many Eigenvalues of a Random Matrix are Real?
- Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues
- RANDOM MATRICES WITH SLOW CORRELATION DECAY
- Schur function averages for the real Ginibre ensemble
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- The Noise in the Circular Law and the Gaussian Free Field
- Universality of local eigenvalue statistics for some sample covariance matrices
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