Mean Occupation Function of High Redshift Quasars from the Planck
  Cluster Catalog
  We characterise the distribution of quasars within dark matter halos using a
direct measurement technique for the first time at redshifts as high as $z \sim
1$. Using the Planck Sunyaev-Zeldovich (SZ) catalogue for galaxy groups and the
Sloan Digital Sky Survey (SDSS) DR12 quasar dataset, we assign host
clusters/groups to the quasars and make a measurement of the mean number of
quasars within dark matter halos as a function of halo mass. We find that a
simple power-law fit of $\log\left <N\right> = (2.11 \pm 0.01) \log (M) -(32.77
\pm 0.11)$ can be used to model the quasar fraction in dark matter halos. This
suggests that the quasar fraction increases monotonically as a function of halo
mass even to redshifts as high as $z\sim 1$.
