Density of eigenvalues of random normal matrices
量子代数
2008-01-29 v2 概率论
摘要
The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrodin is made rigorous by restricting normal matrices to have spectrum in a bounded set. It is shown that for a suitable class of potentials the asymptotic density of eigenvalues is uniform with support in the interior domain of a simple smooth curve.
引用
@article{arxiv.math/0406604,
title = {Density of eigenvalues of random normal matrices},
author = {Peter Elbau and Giovanni Felder},
journal= {arXiv preprint arXiv:math/0406604},
year = {2008}
}
备注
17 pages. Corrected version