On the second-order correlation of characteristic polynomials of Hermite \(\beta \) ensembles
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Publication:990915
DOI10.1016/j.spl.2010.06.001zbMath1204.15046OpenAlexW2016815625MaRDI QIDQ990915
Publication date: 1 September 2010
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2010.06.001
random matricescharacteristic polynomialsmatrix modelWigner matricesGaussian unitary ensembleHermite \(\beta\) ensembles
Related Items (2)
Asymptotics for products of characteristic polynomials in classical \(\beta\)-ensembles ⋮ Limits for circular Jacobi beta-ensembles
Cites Work
- On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix
- Continuum limits of random matrices and the Brownian carousel
- On the second-order correlation function of the characteristic polynomial of a real symmetric Wigner matrix
- Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach
- Eigenvalue distributions of large Hermitian matrices; Wigner's semi- circle law and a theorem of Kac, Murdock, and Szegö
- Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant
- Averages of characteristic polynomials in random matrix theory
- Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models
- Matrix models for beta ensembles
- Characteristic polynomials of random matrices.
- Random matrix theory and \(\zeta(1/2+it)\).
- Characteristic polynomials of real symmetric random matrices
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