English

Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles

Mathematical Physics 2007-05-23 v2 math.MP Probability

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

Cite

@article{arxiv.math-ph/0405035,
  title  = {Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles},
  author = {Craig A. Tracy and Harold Widom},
  journal= {arXiv preprint arXiv:math-ph/0405035},
  year   = {2007}
}

Comments

10 pages, LaTeX

R2 v1 2026-07-22T16:24:28.065Z