Matrix Kernels for the Gaussian Orthogonal and Symplectic Ensembles
Craig A. Tracy, Harold Widom
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.
Create a lesson
Related papers
A local Yang-Baxter obstruction for the hard-square model
Gabriel Ortega, Eliecer Peña-Ancavil
Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications
Chenglang Yang, Xuhui Zhang
Large particle number asymptotics for point-interacting bosons in the plane
Rupert L. Frank, Robert Seiringer
A Counterexample to the Weak Gibbs and Regularity Conjectures
Marius Wesle
Spectral properties of twisted soft waveguides
Pavel Exner, David Spitzkopf
Fluctuating Hydrodynamics of Quantum Fluids from the Nonlinear Fokker-Planck Equation
Mingjian Gu, Zhaoyu Fei, Xiaoguang Wang