Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles

Details Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles

2004-05-12

arxiv.org/abs/math-ph/0405035v2

Ann. Inst. Fourier, Grenoble 55 (2005), 2197-2207

Physics

Mathematical Physics

10 pages, LaTeX

Scientific paper

We derive the limiting matrix kernels for the the Gaussian Orthogonal and
Symplectic ensembles scaled at the edge, with proofs of convergence in the
operator norms that assure convergence of the determinants.

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