The VIMOS Public Extragalactic Redshift Survey: Measuring the growth
  rate of structure around cosmic voids
  We identified voids in the completed VIMOS Public Extragalactic Redshift
Survey (VIPERS), using an algorithm based on searching for empty spheres. We
measured the cross-correlation between the centres of voids and the complete
galaxy catalogue. The cross-correlation function exhibits a clear anisotropy in
both VIPERS fields (W1 and W4), which is characteristic of linear redshift
space distortions. By measuring the projected cross-correlation and then
deprojecting it we are able to estimate the undistorted cross-correlation
function. We propose that given a sufficiently well measured cross-correlation
function one should be able to measure the linear growth rate of structure by
applying a simple linear Gaussian streaming model for the redshift space
distortions (RSD). Our study of voids in 306 mock galaxy catalogues mimicking
the VIPERS fields would suggest that VIPERS is capable of measuring $\beta$
with an error of around $25\%$. Applying our method to the VIPERS data, we find
a value for the redshift space distortion parameter, $\beta =
0.423^{+0.104}_{-0.108}$, which given the bias of the galaxy population we use
gives a linear growth rate of $f\sigma_8 = 0.296^{+0.075}_{-0.078}$ at $z =
0.727$. These results are consistent with values observed in parallel VIPERS
analysis using standard techniques.
