Generalized Descents and Normality

Details Generalized Descents and Normality Generalized Descents and Normality

2007-09-27

arxiv.org/abs/0709.4483v1

Mathematics

Combinatorics

7 pages

Scientific paper

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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