On β-Matrix Models with Singular Potential


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Abstract

A β-matrix model with singular potential is described. A global asymptotic of the density of eigenvalues or the statistical density is obtained by using the equilibrium measure method. The large n-limit density of eigenvalues generalizes Wigner’s semicircle law.

About the authors

Mohamed Bouali

College of Applied Sciences; Faculté des Sciences de Tunis

Author for correspondence.
Email: bouali25@laposte.net
Saudi Arabia, Makkah, 715; El Manar, 2092

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