Covariances of galaxy stellar mass functions and correlation functions

Abstract

We compute covariance matrices for many observed estimates of the stellar mass function of galaxies from z = 0 to z ≈ 4, and for one estimate of the projected correlation function of galaxies split by stellar mass at z ≲ 0.5, using a combination of analytic methods and N-body simulations coupled to a halo occupation distribution approach. All covariance matrices include contributions due to large-scale structure, the preference for galaxies to be found in groups and clusters, and for shot noise. These covariance matrices are made available for use in constraining models of galaxy formation and the galaxy-halo connection.