Making use of sub-resolution halos in N-body simulations
  Conservative mass limits are often imposed on the dark matter halo catalogues
extracted from N-body simulations. By comparing simulations with different mass
resolutions, at $z=0$ we find that even for halos resolved by 100 particles,
the lower resolution simulation predicts a cumulative halo abundance that is 5
per cent lower than in the higher resolution simulation. We propose a simple
weighting scheme to utilise the halos that are usually regarded as being
`sub-resolution'. With the scheme, we are able to use halos which contain only
11 particles to reproduce the clustering measured in the higher resolution
simulation to within 5 per cent on scales down to $2 h^{-1}$ Mpc, thereby
extending the useful halo resolution by a factor of ten below the mass at which
the mass functions in the two simulations first start to deviate. The
performance of the method is slightly worse at higher redshift. Our method
allows a simulation to be used to probe a wider parameter space in clustering
studies, for example, in a halo occupation distribution analysis. This reduces
the cost of generating many simulations to estimate the covariance matrix on
measurements or using a larger volume simulation to make large-scale clustering
predictions.
