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Abstract: The article presents the results of experiments in computation of statisticalvalues related to Young diagrams, including the estimates on maximum andaverage by Plancherel distribution dimension of irreducible representation ofsymmetric group $S n$. The computed limit shapes of two-dimensional andthree-dimensional diagrams distributed by Richardson statistics are presentedas well.



Author: Anatoly Vershik, Dmitry Pavlov

Source: https://arxiv.org/



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