2014MNRAS.439..179D

We apply the well-known semi-analytical model of formation of the Dark Matter (DM) haloes to discuss properties of the relaxed objects dominated by the DM component (such as the first and dwarf spheroidal galaxies (dSph) and/or clusters of galaxies). This approach allows us to obtain a simple but more detailed description of evolution of the first galaxies. It also reveals links between the observed characteristics of the relaxed DM haloes and the initial power spectrum of density perturbations.
Result. of our analysis of the observed properties of ∼ 40 DM dominated galaxies and ∼ 100 clusters of galaxies are consistent with the Λ cold dark matter like power spectrum of initial perturbations down to the scale of ∼ 10kpc. For the DM dominated objects the scaling relations are also discussed.