Moments of characteristic polynomials enumerate two-rowed lexicographic arrays
Mathematical Physics
2007-05-23 v1 Combinatorics
math.MP
Abstract
A combinatorial interpretation is provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected consequence of the Keating and Snaith conjecture: the moments of turn out to be connected with some increasing subsequences problems (such as the last passage percolation problem).
Keywords
Cite
@article{arxiv.math-ph/0112043,
title = {Moments of characteristic polynomials enumerate two-rowed lexicographic arrays},
author = {E Strahov},
journal= {arXiv preprint arXiv:math-ph/0112043},
year = {2007}
}
Comments
9 pages, no figures