Counting formulas associated with some random matrix averages
组合数学
2007-05-23 v1 数学物理
math.MP
摘要
Moments of secular and inverse secular coefficients, averaged over random matrices from classical groups, are related to the enumeration of non-negative matrices with prescribed row and column sums. Similar random matrix averages are related to certain configurations of vicious random walkers and to the enumeration of plane partitions. The combinatorial meaning of the average of the characteristic polynomial of random Hermitian and Wishart matrices is also investigated, and consequently several simple universality results are derived.
引用
@article{arxiv.math/0503002,
title = {Counting formulas associated with some random matrix averages},
author = {Peter J. Forrester and Alex Gamburd},
journal= {arXiv preprint arXiv:math/0503002},
year = {2007}
}
备注
20 pages, 2 figures