Аннотация:
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.
Ключевые слова:random matrix, probability measure, equilibrium measure, logarithmic
potential theory, semicircle law with density $\rho$ on $\mathbb R$.
Список цитирования
