  We analyze three sets of infrared star counts in the inner ~0.5 pc of the
Galactic Center. We perform statistical tests on the star counts and model in
detail the extinction field and the effects of dwarf-giant collisions on the
luminosity function. We find that both the star counts and the depletion of the
brightest stars in the inner ~0.05 pc can be explained by a r^-\alpha stellar
cusp with \alpha in the range 3/2 to 7/4, in which the envelopes of the
brightest giants are destroyed by stellar collisions. Such a cusp is consistent
with the Bahcall-Wolf solution for the distribution of stars that have
undergone two-body relaxation around a black hole. We show that systematic
uncertainties due to variable extinction and unrelaxed stars are probably
small, but deeper star counts are required to confirm these results. We
estimate that the tidal disruption rate of cusp stars by the black hole is few
x 10^-5 yr^-1.
