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Generalized Descents and Normality

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arxiv 0709.4483 v1 pith:NTDSUM6D submitted 2007-09-27 math.CO math.PR

Generalized Descents and Normality

classification math.CO math.PR
keywords descentsdistributionallowedcertainconvergecriteriondegreedependency
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We use Janson's dependency criterion to prove that the distribution of $d$-descents of permutations of length $n$ converge to a normal distribution as $n$ goes to infinity. We show that this remains true even if $d$ is allowed to grow with $n$, up to a certain degree.

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