We compare the halo mass functions at z = 100 for three PPS models. We set the normalization parameter to σ₈ = 2.5 here. The lines show the Press–Schechter mass functions, while the symbols show the results of our cosmological simulations with a volume of 60 h⁻¹ comoving kilo-parsec on a side. We run the Friend of Friend (FOF) halo finder with linking length b = 0.2 to obtain the halo mass functions.