Descent functions and random Young tableaux (Q2731580)

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scientific article; zbMATH DE number 1626150
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Descent functions and random Young tableaux
scientific article; zbMATH DE number 1626150

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    6 September 2001
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    descent number
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    major index
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    Young tableau
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    Descent functions and random Young tableaux (English)
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    The classical concepts of descent number and major index are generalized to Young tableaux. The expectations of these generalized statistics are derived for a tableau of fixed shape \(\lambda\). The proof relies on probabilistic arguments and combinatorial character theory.
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