Distribution of the largest eigenvalues of the Levi - Smirnov ensemble

Details Distribution of the largest eigenvalues of the Levi - Smirnov ensemble Distribution of the largest eigenvalues of the Levi - Smirnov ensemble

2002-09-04

arxiv.org/abs/hep-ph/0209042v1

Acta Phys.Polon. B35 (2004) 541-550

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures, Latex

Scientific paper

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.

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