AMICO galaxy clusters in KiDS-DR3: Evolution of the luminosity function
  between z=0.1 and z=0.8
  By means of the $r$-band luminosity function (LF) of galaxies in a sample of
about 4000 clusters detected by the cluster finder AMICO in the KiDS-DR3 area
of about 400 deg$^2$, we studied the evolution with richness and redshift of
the passive evolving (red), star-forming (blue), and total galaxy populations.
This analysis was performed for clusters in the redshift range [0.1,0.8] and in
the mass range [$10^{13} M_{\odot}$,$10^{15} M_{\odot}$]. To compute LFs, we
binned the luminosity distribution in magnitude and statistically subtracted
the background. Then, we divided the cluster sample in bins of both redshift
and richness/mass. We stacked LF counts in each 2D bin for the total, red, and
blue galaxy populations; finally, we fitted the stacked LF with a Schechter
function and studied the trend of its parameters with redshift and
richness/mass. We found a passive evolution with $z$ for the bright part of the
LF for the red and total populations and no significant trends for the faint
galaxies. The mass/richness dependence is clear for the density parameter
$\Phi_{\star}$, increasing with richness, and for the total population faint
end, which is shallower in the rich clusters.
