Fluctuations of the spectrum in rotationally invariant random matrix ensembles
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Publication:5019001
DOI10.1142/S2010326321500258zbMath1479.60015arXiv1912.11518MaRDI QIDQ5019001
Mark W. Meckes, Elizabeth S. Meckes
Publication date: 27 December 2021
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11518
Stein's methodlinear eigenvalue statisticsfixed-trace ensemblesnorm-dependent ensemblesnorm-dependent random matricesrotationally-invariant random matrices
Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Cites Work
- Unnamed Item
- Unnamed Item
- Central limit theorem for linear eigenvalue statistics of elliptic random matrices
- Stein's method and the multivariate CLT for traces of powers on the compact classical groups
- Stein's method, heat kernel, and traces of powers of elements of compact Lie groups
- A quantitative central limit theorem for linear statistics of random matrix eigenvalues
- A CLT for a band matrix model
- Stein's method and characters of compact Lie groups
- Gaussian fluctuations for non-Hermitian random matrix ensembles
- Fluctuations of eigenvalues and second order Poincaré inequalities
- Limit correlation functions for fixed trace random matrix ensembles
- Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
- Random matrix theory of singular values of rectangular complex matrices. I: Exact formula of one-body distribution function in fixed-trace ensemble
- On random matrices from the compact classical groups
- Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit
- Deviations from the circular law
- Eigenvalue distributions of random unitary matrices
- The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
- CLT for linear spectral statistics of large-dimensional sample covariance matrices.
- On the determinant of a uniformly distributed complex matrix
- On fluctuations of eigenvalues of random Hermitian matrices.
- A random walk approach to linear statistics in random tournament ensembles
- Linear functionals of eigenvalues of random matrices
- Stein’s Method and Central Limit Theorems for Haar Distributed Orthogonal Matrices: Some Recent Developments
- Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs
- On Stein’s method for multivariate normal approximation
- Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices
- Norm-dependent random matrix ensembles in external field and supersymmetry
- Linear functions on the classical matrix groups
- The Probability That a Numerical Analysis Problem is Difficult
- On the Distribution of a Scaled Condition Number
- Central limit theorem for traces of large random symmetric matrices with independent matrix elements
- Exact densities of states of fixed trace ensembles of random matrices
- Spectral statistics of the uni-modular ensemble
- Random matrices with prescribed eigenvalues and expectation values for random quantum states
- Optimal Gamma Approximation on Wiener Space
- Concentration for noncommutative polynomials in random matrices
- The Noise in the Circular Law and the Gaussian Free Field
- Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles
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