A Note on the Stanley Distribution
Combinatorics
2010-01-25 v1
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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Cite
@article{arxiv.1001.3899,
title = {A Note on the Stanley Distribution},
author = {Shalosh B. Ekhad},
journal= {arXiv preprint arXiv:1001.3899},
year = {2010}
}
Comments
2 pages