0 70 30 19 v 1 5 M ar 2 00 7 Integrable structure of Ginibre ’ s ensemble of real random matrices and a Pfaffian integration theorem

@inproceedings{Akemann2007073,
  title={0 70 30 19 v 1 5 M ar 2 00 7 Integrable structure of Ginibre ’ s ensemble of real random matrices and a Pfaffian integration theorem},
  author={Gernot Akemann and Eugene Kanzieper},
  year={2007}
}
In the recent publication [E. Kanzieper and G. Akemann, Phys. Rev. Lett. 95, 230201 (2005)], an exact solution was reported for the probability pn,k to find exactly k real eigenvalues in the spectrum of an n × n real asymmetric matrix drawn at random from Ginibre’s Orthogonal Ensemble (GinOE). In the present paper, we offer a detailed derivation of the above result by concentrating on the proof of the Pfaffian integration theorem, the key ingredient of our analysis of the statistics of real… CONTINUE READING
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