Title: A cross-correlation-based estimate of the galaxy luminosity function,
Abstract: We extend existing methods for using cross-correlations to derive redshift
distributions for photometric galaxies, without using photometric redshifts.
The model presented in this paper simultaneously yields highly accurate and
unbiased redshift distributions and, for the first time, redshift-dependent
luminosity functions, using only clustering information and the apparent
magnitudes of the galaxies as input. In contrast to many existing techniques
for recovering unbiased redshift distributions, the output of our method is not
degenerate with the galaxy bias b(z), which is achieved by modelling the shape
of the luminosity bias. We successfully apply our method to a mock galaxy
survey and discuss improvements to be made before applying our model to real
data.