A rate of convergence for the circular law for the complex Ginibre   ensemble
  We prove rates of convergence for the circular law for the complex Ginibre ensemble. Specifically, we bound the expected $L_p$-Wasserstein distance between the empirical spectral measure of the normalized complex Ginibre ensemble and the uniform measure on the unit disc, both in expectation and almost surely. For $1 \le p \le 2$, the bounds are of the order $n^{-1/4}$, up to logarithmic factors. 
Elizabeth S. Meckes and Mark W. Meckes
math.PR math-ph math.MP