The distributions of the entries of Young tableaux (original) (raw)
2000, arXiv (Cornell University)
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On Descents in Standard Young Tableaux
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In this paper, explicit formulae for the expectation and the variance of descent functions on random standard Young tableaux are presented. Using these, it is shown that the normalized variance, V/E 2 , is bounded if and only if a certain inequality relating the tableau shape to the descent function holds. * Supported in part by the Austrian Academic Exchange Service (Österreichischer akademischer Austauschdienst).
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