  We present a suite of cosmological zoom-in simulations at z>5 from the
Feedback In Realistic Environments project, spanning a halo mass range
M_halo~10^8-10^12 M_sun at z=5. We predict the stellar mass-halo mass relation,
stellar mass function, and luminosity function in several bands from z=5-12.
The median stellar mass-halo mass relation does not evolve strongly at z=5-12.
The faint-end slope of the luminosity function steepens with increasing
redshift, as inherited from the halo mass function at these redshifts. Below
z~6, the stellar mass function and ultraviolet (UV) luminosity function
slightly flatten below M_star~10^4.5 M_sun (fainter than M_1500~-12), owing to
the fact that star formation in low-mass halos is suppressed by the ionizing
background by the end of reionization. Such flattening does not appear at
higher redshifts. We provide redshift-dependent fitting functions for the
SFR-M_halo, SFR-M_star, and broad-band magnitude-stellar mass relations. We
derive the star formation rate density and stellar mass density at z=5-12 and
show that the contribution from very faint galaxies becomes more important at
z>8. Furthermore, we find that the decline in the z~6 UV luminosity function
brighter than M_1500~-20 is largely due to dust attenuation. Approximately 37%
(54%) of the UV luminosity from galaxies brighter than M_1500=-13 (-17) is
obscured by dust at z~6. Our results broadly agree with current data and can be
tested by future observations.
