164 citations · 859 across the 20 of their papers we have counts for
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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…
General Eigenvalue Correlations for the Real Ginibre Ensemble
Hans-Jürgen Sommers, Waldemar Wieczorek
We rederive in a simplified version the Lehmann-Sommers eigenvalue distribution for the Gaussian ensemble of asymmetric real matrices, invariant under real orthogonal transformatio…
Random Quantum Operations
Wojciech Bruzda, Valerio Cappellini, Hans-Jürgen Sommers +1
We define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Phi a…