Light from the Darkness: Detecting Ultra-Diffuse Galaxies in the Perseus
  Cluster through Over-densities of Globular Clusters with a Log-Gaussian Cox
  Process
  We introduce a new method for detecting ultra-diffuse galaxies by searching
for over-densities in intergalactic globular cluster populations. Our approach
is based on an application of the log-Gaussian Cox process, which is a commonly
used model in the spatial statistics literature but rarely used in astronomy.
This method is applied to the globular cluster data obtained from the PIPER
survey, a \textit{Hubble Space Telescope} imaging program targeting the Perseus
cluster. We successfully detect all confirmed ultra-diffuse galaxies with known
globular cluster populations in the survey. We also identify a potential galaxy
that has no detected diffuse stellar content. Preliminary analysis shows that
it is unlikely to be merely an accidental clump of globular clusters or other
objects. If confirmed, this system would be the first of its kind. Simulations
are used to assess how the physical parameters of the globular cluster systems
within ultra-diffuse galaxies affect their detectability using our method. We
quantify the correlation of the detection probability with the total number of
globular clusters in the galaxy and the anti-correlation with increasing
half-number radius of the globular cluster system. The S\'{e}rsic index of the
globular cluster distribution has little impact on detectability.
