Correlation Functions for β=1 Ensembles of Matrices of Odd Size

Abstract

Using the method of Tracy and Widom we rederive the correlation functions for β=1 Hermitian and real asymmetric ensembles of N x N matrices with N odd.

15 pages

References in corpus (6)

• Eigenvalue statistics of the real Ginibre ensemble
• The Ginibre ensemble of real random matrices and its scaling limits
• Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
• General Eigenvalue Correlations for the Real Ginibre Ensemble
• A method to calculate correlation functions for $\beta =1$ random matrices of odd size
• Correlation Functions of Asymmetric Real Matrices

Cited by in corpus (9)

• Random matrices: Universality of local spectral statistics of non-Hermitian matrices
• Extremal laws for the real Ginibre ensemble
• Fast approach to the Tracy-Widom law at the edge of GOE and GUE
• A method to calculate correlation functions for $\beta =1$ random matrices of odd size
• A geometrical triumvirate of real random matrices
• The Partition Function of Multicomponent Log-Gases
• Pfaffian point process for the Gaussian real generalised eigenvalue problem
• The real Ginibre ensemble with $k=O(n)$ real eigenvalues
• Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach