Asymptotic Spectra of Matrix-Valued Functions of Independent Random   Matrices and Free Probability
  We investigate the universality of singular value and eigenvalue distributions of matrix valued functions of independent random matrices and apply these general results in several examples. In particular we determine the limit distribution and prove universality under general conditions for singular value and eigenvalue distributions of products of independent matrices from spherical ensembles. 
F. G\"otze, H. K\"osters, A. Tikhomirov
math.PR