Statistics of extreme objects in the Juropa Hubble Volume simulation
  We present the first results from the JUropa huBbLE volumE (Jubilee) project,
based a large N-body, dark matter-only cosmological simulation with a volume of
$V=(6 h^{-1}\mathrm{Gpc})^3$, containing 6000$^3$ particles, performed within
the concordance $\Lambda$CDM cosmological model. The simulation volume is
sufficient to probe extremely large length scales in the universe, whilst at
the same time the particle count is high enough so that dark matter haloes down
to $1.5\times10^{12} h^{-1}\mathrm{M}_\odot$ can be resolved. At $z = 0$ we
identify over 400 million haloes. The cluster mass function is derived using
three different halofinders and compared to fitting functions in the
literature. The distribution of clusters of maximal mass across redshifts
agrees well with predicted masses of extreme objects, and we explicitly confirm
that the Poisson distribution is very good at describing the distribution of
rare clusters. The Poisson distribution also matches well the level to which
cosmic variance can be expected to affect number counts of high mass clusters.
We find that objects like the Bullet cluster exist in the far-tail of the
distribution of mergers in terms of relative collisional speed. We also derive
the number counts of voids in the simulation box for $z = 0$, $0.5$ and $1$.
