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arXiv 2002-09-04 0 views

Distribution of the largest eigenvalues of the Levi - Smirnov ensemble

Wieczorek, Waldemar

Original · EN

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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