Hans-Jürgen Sommers and Boris A Khoruzhenko 2009 J. Phys. A: Math. Theor. 42 222002 doi:10.1088/1751-8113/42/22/222002
Hans-Jürgen Sommers1 and Boris A Khoruzhenko2
Show affiliationsWe 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.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
02.50.-r Probability theory, stochastic processes, and statistics
Issue 22 (5 June 2009)
Received 1 April 2009
Published 15 May 2009
Hans-Jürgen Sommers and Boris A Khoruzhenko 2009 J. Phys. A: Math. Theor. 42 222002
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