The Anisotropic Line Correlation Function as a Probe of Anisotropies in
  Galaxy Surveys
  We propose an anisotropic generalisation of the line correlation function
(ALCF) to separate and quantify phase information in the large-scale structure
of galaxies. The line correlation function probes the strictly non-linear
regime of structure formation and since phase information drops out of the
power spectrum, the line correlation function provides a complementary tool to
commonly used techniques based on two-point statistics. Furthermore, it is
independent of linear bias as well as the Gaussian variance on the modulus of
the density field and thus may also prove to be advantageous compared to the
bispectrum or similar higher-order statistics for certain cases. For future
applications it is vital, though, to be able to account for observational
effects that cause anisotropies in the distribution of galaxies. Based on a
number of numerical studies, we find that our ALCF is well suited to accomplish
this task and we demonstrate how the Alcock-Paczynski effect and kinematical
redshift-space distortions can in principle be measured via the ALCF.
