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Generalized $\beta$-Gaussian Ensemble Equilibrium measure method

Probability 2014-09-02 v1

Abstract

We investigate β\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 nn large limit we will see that the asymptotic density of eigenvalues generalize the Wigner semi-circle law.

Keywords

Cite

@article{arxiv.1409.0126,
  title  = {Generalized $\beta$-Gaussian Ensemble Equilibrium measure method},
  author = {Mohamed Bouali},
  journal= {arXiv preprint arXiv:1409.0126},
  year   = {2014}
}
R2 v1 2026-06-22T05:44:40.886Z