The galaxy luminosity function around groups
  We present a study on the variations of the luminosity function of galaxies around clusters in a numerical simulation with semi-analytic galaxies, attempting to detect these variations in the 2dF Galaxy Redshift Survey. We subdivide the simulation box in equal-density regions around clusters, which we assume can be achieved by selecting objects at a given normalised distance ($r/r_{rms}$, where $r_{rms}$ is an estimate of the halo radius) from the group centre. The semi-analytic model predicts important variations in the luminosity function out to $r/r_{rms}\simeq5$. In brief, variations in the mass function of haloes around clusters (large dark-matter haloes with $M>10^{12}$h$^{-1}$M$_{\sun}$) lead to cluster central regions that present a high abundance of bright galaxies (high $M^*$ values) as well as low luminosity galaxies (high $\alpha$); at $r/r_{rms}\simeq 3$ there is a lack of bright galaxies, which shows the depletion of galaxies in the regions surrounding clusters (minimum in $M^*$ and $\alpha$), and a tendency to constant luminosity function parameters at larger cluster-centric distances. We take into account the observational biases present in the real data by reproducing the peculiar velocity effect on the redshifts of galaxies in the simulation box, and also by producing mock catalogues. We find that excluding from the analysis galaxies wich in projection are close to the centres of the groups provides results that are qualitatively consistent with the full simulation box results. 
R. E. Gonzalez, N. D. Padilla, G. Galaz, L. Infante