Correlation Functions of Asymmetric Real Matrices
Mathematical Physics
2008-04-09 v2 math.MP
Abstract
We give a closed form for the correlation functions of ensembles of asymmetric real matrices in terms of the Pfaffian of an antisymmetric matrix formed from a matrix kernel associated to the ensemble. We also derive closed forms for the matrix kernel and correlation functions for Ginibre's real ensemble.
Keywords
Cite
@article{arxiv.0706.2670,
title = {Correlation Functions of Asymmetric Real Matrices},
author = {Alexei Borodin and Christopher D. Sinclair},
journal= {arXiv preprint arXiv:0706.2670},
year = {2008}
}