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Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles
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Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles
Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles
CT
Craig A. Tracy
Craig A. Tracy
HW
Harold Widom
Harold Widom
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12 May 2004
preprint
Published by
arXiv
in
arXiv
https://doi.org/10.48550/arXiv.math-ph/0405035
Abstract
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.
Keywords
SYMPLECTIC ENSEMBLES
GAUSSIAN ORTHOGONAL
ASSURE CONVERGENCE
ENSEMBLES SCALED
LIMITING MATRIX
MATRIX KERNELS
NORMS
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Version 1, 2004-05-12, ArXiv
Version 2, 2004-05-12, ArXiv
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