Introduction | |
Level density and correlation functions | |
The $S^{(\beta)}_\mathbb{N}(x,y)$ kernel and Christoffel-Darboux formulas | |
Mapping Unitary ensembles Orthogonal ensembles (even dimension) | |
Orthogonal ensembles (odd dimension) | |
Symplectic ensembles Skew-orthogonal polynomials and differential systems | |
Matrix integral representations and zeros of polynomials | |
Duality Conclusion | |
Proofs of (5.7), (5.12), and (5.19) | |
Associated Laguerre and Gaussian results as limiting cases of Jacobi skew-orthogonal polynomials | |
Proofs of (10.2)-(10.9) | |
Bibliography | |
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