Scaling laws in the stellar mass distribution and the transition to
  homogeneity
  We present a new statistical analysis of the large-scale stellar mass
distribution in the Sloan Digital Sky Survey (data release 7). A set of
volume-limited samples shows that the stellar mass of galaxies is concentrated
in a range of galaxy luminosities that is very different from the range
selected by the usual analysis of galaxy positions. Nevertheless, the two-point
correlation function is a power-law with the usual exponent
$\gamma=1.71$--$1.82$, which varies with luminosity. The mass concentration
property allows us to make a meaningful analysis of the angular distribution of
the full flux-limited sample. With this analysis, after suppressing the shot
noise, we extend further the scaling range and thus obtain $\gamma=1.83$ and a
clustering length \redc{$r_0= 5.8$--$7.0\,h^{-1}$Mpc.} Fractional statistical
moments of the coarse-grained stellar mass density exhibit multifractal
scaling. Our results support a multifractal model with a transition to
homogeneity at about $10\,h^{-1}$Mpc.
