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



Author: Hans-Juergen Sommers, Boris A Khoruzhenko

Source: https://arxiv.org/







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