Averages over Ginibre's Ensemble of Random Real Matrices

Details Averages over Ginibre's Ensemble of Random Real Matrices Averages over Ginibre's Ensemble of Random Real Matrices

2006-05-02

arxiv.org/abs/math-ph/0605006v1

Physics

Mathematical Physics

12 pages

Scientific paper

We give a method for computing the ensemble average of multiplicative class
functions over the Gaussian ensemble of real asymmetric matrices. These
averages are expressed in terms of the Pfaffian of Gram-like antisymmetric
matrices formed with respect to a skew-symmetric inner product related to the
class function.

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