35 citations · 176 across the 8 of their papers we have counts for
8 papers
The Interpolating Airy Kernels for the beta=1 and beta=4 Elliptic Ginibre Ensembles
G. Akemann, M. J. Phillips
We consider two families of non-Hermitian Gaussian random matrices, namely the elliptical Ginibre ensembles of asymmetric N-by-N matrices with Dyson index beta=1 (real elements) an…
Universality Conjecture for all Airy, Sine and Bessel Kernels in the Complex Plane
G. Akemann, M. J. Phillips
We address the question of how the celebrated universality of local correlations for the real eigenvalues of Hermitian random matrices of size NxN can be extended to complex eigenv…
Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
G. Akemann, T. Kanazawa, M. J. Phillips +1
We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical f…
Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices
G. Akemann, M. Kieburg, M. J. Phillips
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integra…
The chiral Gaussian two-matrix ensemble of real asymmetric matrices
G. Akemann, M. J. Phillips, H. -J. Sommers
We solve a family of Gaussian two-matrix models with rectangular Nx(N+v) matrices, having real asymmetric matrix elements and depending on a non-Hermiticity parameter mu. Our model…
A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices
G. Akemann, E. Bittner, M. J. Phillips +1
We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing agai…