Abstract:
A
$\beta$-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.
Keywords:random matrix, probability measure, equilibrium measure, logarithmic
potential theory, semicircle law with density $\rho$ on $\mathbb R$.
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