A note on pair-dependent linear statistics with a slowly increasing variance
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Publication:2229351
DOI10.1134/S0040577920120090zbMath1458.81043arXiv2004.01345OpenAlexW3117736446MaRDI QIDQ2229351
A. Aguirre, Alexander B. Soshnikov
Publication date: 23 February 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.01345
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Atomic physics (81V45) Random matrices (algebraic aspects) (15B52)
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Central limit theorem for \(C\beta E\) pair dependent statistics in mesoscopic regime, Pair dependent linear statistics for CβE, Gaussian fluctuation for smoothed local correlations in CUE
Cites Work
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- Linear statistics of the circular \(\beta\)-ensemble, Stein's method, and circular Dyson Brownian motion
- Level spacings distribution for large random matrices: Gaussian fluctuations
- Finite-\(N\) fluctuation formulas for random matrices
- On random matrices from the compact classical groups
- Mesoscopic central limit theorem for general \(\beta\)-ensembles
- The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
- On fluctuations of eigenvalues of random Hermitian matrices.
- Correlations between eigenvalues of a random matrix
- Linear functionals of eigenvalues of random matrices
- Self-similarity in the circular unitary ensemble
- Moments of the Gaussian β ensembles and the large-N expansion of the densities
- Statistical Theory of the Energy Levels of Complex Systems. I
- On the Eigenvalues of Random Matrices
- The Maximum of the CUE Field
- On the characteristic polynomial of a random unitary matrix
- Moments of traces of circular beta-ensembles
