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Analytical approximations to the low-order statistics of dark matter distributions

Analytical approximations to the low-order statistics of dark matter distributions

We show that in a hierarchical clustering model the low-order statistics of the density and the peculiar velocity fields can all be modelled semianalytically for a given cosmology and an initial density perturbation power spectrum $P(k)$. We present such models for the two-point correlation function $\xi(r)$, the amplitude $Q$ of …