35 citations · 176 across the 8 of their papers we have counts for
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hep-th2009★ 19 cited
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…
hep-th2009★ 18 cited
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…
math-ph2009★ 35 cited
Gap Probabilities in Non-Hermitian Random Matrix Theory
G. Akemann, M. J. Phillips, L. Shifrin
We compute the gap probability that a circle of radius r around the origin contains exactly k complex eigenvalues. Four different ensembles of random matrices are considered: the G…