Schur function averages for the real Ginibre ensemble

Details Schur function averages for the real Ginibre ensemble Schur function averages for the real Ginibre ensemble

2009-03-30

arxiv.org/abs/0903.5071v1

J. Phys. A: Math. Theor. 42 (2009) 222002

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/42/22/222002

We derive an explicit simple formula for expectations of all Schur functions
in the real Ginibre ensemble. It is a positive integer for all entries of the
partition even and zero otherwise. The result can be used to determine the
average of any analytic series of elementary symmetric functions by Schur
function expansion.

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