Distribution of the largest eigenvalues of the Levi - Smirnov ensemble
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
We calculate the distribution of the k-th largest eigenvalue in the random matrix Levi-Smirnov (LSE) ensemble, using the spectral dualism between LSE and chiral Gaussian Unitary Ensemble (GUE). Then we reconstruct universal spectral oscillations and we investigate an asymptotic behavior of the spectral distribution.
Keywords
Cite
@article{arxiv.hep-ph/0209042,
title = {Distribution of the largest eigenvalues of the Levi - Smirnov ensemble},
author = {Waldemar Wieczorek},
journal= {arXiv preprint arXiv:hep-ph/0209042},
year = {2007}
}
Comments
7 pages, 2 figures, Latex