The Distribution of Dark Matter in the Universe on Scales of 10^10 M_sun   to 10^15 M_sun
  The use of parallel computers and increasingly sophisticated software has allowed us to perform a large suite of N-body simulations using from $10^8$,to $10^9$ particles. We will report on our recent convergence tests of the halo mass function, N-point correlation functions, power spectrum and pairwise velocity from very large high resolution treecode N-body simulations. Rather than basing results on just one or two large simulations, now one can investigate the role of different numerical and physical effects on the statistics used to characterize the mass distribution of the Universe. 
Luis Teodoro and Michael S. Warren