The VIMOS Public Extragalactic Redshift Survey (VIPERS). Environmental
  effects shaping the galaxy stellar mass function
  We exploit the first public data release of VIPERS to investigate
environmental effects in galaxy evolution between $z\sim0.5$ and $0.9$. The
large number of spectroscopic redshifts over an area of about
$10\,\mathrm{deg}^2$ provides a galaxy sample with high statistical power. The
accurate redshift measurements, with $\sigma_z = 0.00047(1+z_\mathrm{spec})$,
allow us to robustly isolate galaxies living in the lowest- and highest-density
environments, as defined in terms of spatial 3D density contrast. We estimate
the stellar mass function (SMF) of galaxies residing in these two environments,
and constrain its high-mass end with unprecedented precision. We find that the
galaxy SMF in the densest regions has a different shape than that measured at
low densities, with an enhancement of massive galaxies and a hint of a flatter
(less negative) slope at $z<0.8$. We normalise each SMF to the comoving volume
occupied by the corresponding environment, and relate estimates from different
redshift bins. We observe an evolution of the SMF of VIPERS galaxies in high
densities, while the low-density one is nearly constant. We compare these
results to semi-analytical models and find consistent environmental signatures.
We discuss how the halo mass function and fraction of central/satellite
galaxies depend on the environments considered, making intrinsic and
environmental properties of galaxies physically coupled, and therefore
difficult to disentangle. The evolution of our low-density regions is well
described by the formalism introduced by Peng et al.~(2010), and is consistent
with the idea that galaxies become progressively passive because of internal
physical processes. The same formalism could also describe the evolution of the
SMF in the high density regions, but only if a significant contribution from
dry mergers is considered. [Abridged]
