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arXiv · 1409.0126

Generalized $\beta$-Gaussian Ensemble Equilibrium measure method

Mohamed Bouali
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Abstract

We investigate $\beta$-Generalized random Hermitian matrices ensemble sometimes called Chiral ensemble. We give global asymptotic of the density of eigenvalues or the statistical density. We investigate general method names as equilibrium measure method. When taking $n$ large limit we will see that the asymptotic density of eigenvalues generalize the Wigner semi-circle law.

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Mohamed Bouali. 2014-08-30. Generalized $\beta$-Gaussian Ensemble Equilibrium measure method. https://arxiv.org/abs/1409.0126

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