2 papers
math-ph2017
Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles
Peter J. Forrester, Jesper R. Ipsen, Dang-Zheng Liu +1
In this paper, we highlight the role played by orthogonal and symplectic Harish-Chandra integrals in the study of real-valued matrix product ensembles. By making use of these integ…
math-ph2017
How many eigenvalues of a product of truncated orthogonal matrices are real?
P. J. Forrester, J. R. Ipsen, S. Kumar
A truncation of a Haar distributed orthogonal random matrix gives rise to a matrix whose eigenvalues are either real or complex conjugate pairs, and are supported within the closed…