I will review the sciences with small-scale and large-scale clustering of galaxies. The topic ranges from galactic satellite systems and finger-of-god of galaxy clusters to large-scale clustering anisotropy and large-scale structures in the universe. This will show how the growing galaxy redshift data can be used to constrain cosmological models and galaxy formation theories.
In particular, a new method for measuring the cosmological parameters governing the expansion history of the universe will be introduced. The method uses the Alcock-Paczynski test applied to the overall shape of the galaxy two-point correlation function along and across the line-of-sight. We applied this method to simulated data and also to a recent galaxy survey data to obtain an impressive constraint on the dark energy equation of state and matter density parameter Ωm.
