Multivariate normal approximation for traces of random unitary matrices
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Publication:2072086
DOI10.1214/21-AOP1520zbMath1486.60014arXiv2002.01879OpenAlexW3004506524MaRDI QIDQ2072086
Kurt Johansson, Gaultier Lambert
Publication date: 1 February 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01879
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
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- Linear statistics of the circular \(\beta\)-ensemble, Stein's method, and circular Dyson Brownian motion
- Stein's method and the multivariate CLT for traces of powers on the compact classical groups
- Symmetric functions and P-recursiveness
- On random matrices from the compact classical groups
- A Fredholm determinant formula for Toeplitz determinants
- On a Toeplitz determinant identity of Borodin and Okounkov
- NIST digital library of mathematical functions
- Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications
- Quantitative normal approximation of linear statistics of \(\beta \)-ensembles
- On oscillatory integral Hilbert transformation with trigonometric polynomial phase
- Polynomials defined by a difference system
- Linear functionals of eigenvalues of random matrices
- Scattering theory and polynomials orthogonal on the unit circle
- On the Eigenvalues of Random Matrices
- Traces of powers of matrices over finite fields
- On the Rate of Convergence in the Central Limit Theorem for Linear Statistics of Gaussian, Laguerre, and Jacobi Ensembles
- Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
- Moments of traces of circular beta-ensembles
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