Constant baryon conversion mapping of halo and stellar mass
= Constant baryon conversion mapping of halo and stellar mass
{title2=$M_*=\epsilon_*M_h$}
If every counted halo hosts one counted galaxy and the baryon fraction and conversion efficiency are mass-independent without scatter, <galactic stellar mass> is a constant multiple of halo mass. The galaxy mass function is obtained by changing variable with $dM/dM_*=1/\epsilon_*$. Satellites, efficiency variation and scatter prevent this mapping from being generally exact.