Generating functions for purely crossing partitions
Combinatorics
2016-02-16 v2 Probability
Abstract
The generating function for the number of purely crossing partitions of {1,...,n} is found in terms of the generating function for Bell numbers. Further results about generating functions for asymptotic moments of certain random Vandermonde matrices are derived.
Keywords
Cite
@article{arxiv.1602.03469,
title = {Generating functions for purely crossing partitions},
author = {Kenneth J. Dykema},
journal= {arXiv preprint arXiv:1602.03469},
year = {2016}
}
Comments
10 pages; version 2 adds a citation to F. Lehner and uses the existing name "connected partitions" for what we previously called "NIS partitions."