Asymptotic mean density of sub-unitary ensemble
Mathematical Physics
2015-05-14 v1 math.MP
Chaotic Dynamics
Abstract
The large N limit of mean spectral density for the ensemble of NxN sub-unitary matrices derived by Wei and Fyodorov (J. Phys. A: Math. Theor. 41 (2008) 50201) is calculated by a modification of the saddle point method. It is shown that the result coincides with the one obtained within the free probability theory by Haagerup and Larsen (J. Funct. Anal. 176 (2000) 331).
Keywords
Cite
@article{arxiv.0912.5444,
title = {Asymptotic mean density of sub-unitary ensemble},
author = {E. Bogomolny},
journal= {arXiv preprint arXiv:0912.5444},
year = {2015}
}