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math-ph2008★ 33 cited
Characteristic polynomials in real Ginibre ensembles
G. Akemann, M. J. Phillips, H. -J. Sommers
We calculate the average of two characteristic polynomials for the real Ginibre ensemble of asymmetric random matrices, and its chiral counterpart. Considered as quadratic forms th…
math-ph2008★ 28 cited
Power-law deformation of Wishart-Laguerre ensembles of random matrices
G. Akemann, P. Vivo
We introduce a one-parameter deformation of the Wishart-Laguerre or chiral ensembles of positive definite random matrices with Dyson index beta=1,2 and 4. Our generalised model has…