Physics – Mathematical Physics
Scientific paper
2007-06-18
Physics
Mathematical Physics
34 pages. This revision contains new content and some corrections
Scientific paper
We give a closed form for the correlation functions of ensembles of
asymmetric real matrices in terms of the Pfaffian of an antisymmetric matrix
formed from a $2 \times 2$ matrix kernel associated to the ensemble. We also
derive closed forms for the matrix kernel and correlation functions for
Ginibre's real ensemble.
Borodin Alexei
Sinclair Christopher D.
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