Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges
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Publication:1396892
DOI10.1016/S0550-3213(03)00458-9zbMath1024.82012arXivhep-th/0304095MaRDI QIDQ1396892
Gernot Akemann, Yan. V. Fyodorov
Publication date: 13 July 2003
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0304095
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52)
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Cites Work
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- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
- Fredholm determinants, differential equations and matrix models
- Universality of random matrices in the microscopic limit and the Dirac operator spectrum
- Characteristic polynomials of complex random matrix models
- Asymptotic correlations at the spectrum edge of random matrices
- The microscopic spectral density of the QCD Dirac operator
- The replica limit of unitary matrix integrals
- New critical matrix models and generalized universality
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble
- Universality of the correlations between eigenvalues of large random matrices.
- Matrix model calculations beyond the spherical limit.
- Replica Field Theories, Painlevé Transcendents, and Exact Correlation Functions
- Replica Limit of the Toda Lattice Equation
- Dyson’s correlation functions and graded symmetry
- Supersymmetry in Disorder and Chaos
- Novel Universal Correlations in Invariant Random-Matrix Models
- QCD\(_3\) and the replica method
- Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.
- Characteristic polynomials of random matrices.
- Random matrix theory and \(\zeta(1/2+it)\).
- Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation