On the spectrum of random matrices

A study is made of the distribution of eigenvalues in a certain ensemble of random particles that contains as a special case the ensemble used by Wigner to give a statistical description of the energy levels of heavy nuclei, it is shown that the distribution function of the elgenvalues divided by the factor $N$ (the order of the matrices) becomes nonrandom In the limit $N\to\infty$ and can be found by solving a definite functional equation.