A Note on the Stanley Distribution

Published 21 Jan 2010 in math.CO | (1001.3899v1)

Abstract: Richard Stanley proved that the centralized/normalized version of the random variable "length of largest up-down subsequence" in a random permutation of length n is asymptotically normal. We go beyond and present a more refined asymptotic formula for the moments.

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Shalosh B. Ekhad

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