Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles

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.

10 pages, LaTeX

References in corpus (2)

• Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
• Toeplitz determinants, random growth and determinantal processes