Ratios of characteristic polynomials in complex matrix models
数学物理
2011-07-19 v2 高能物理 - 理论
math.MP
摘要
We compute correlation functions of inverse powers and ratios of characteristic polynomials for random matrix models with complex eigenvalues. Compact expressions are given in terms of orthogonal polynomials in the complex plane as well as their Cauchy transforms, generalizing previous expressions for real eigenvalues. We restrict ourselves to ratios of characteristic polynomials over their complex conjugate.
引用
@article{arxiv.math-ph/0404068,
title = {Ratios of characteristic polynomials in complex matrix models},
author = {G. Akemann and A. Pottier},
journal= {arXiv preprint arXiv:math-ph/0404068},
year = {2011}
}
备注
7 pages, notation clarified in published version