Using the Sloan Digital Sky Survey Data (SDSS) Release 8, we calculated the fractal dimension of galaxies as a function of co-moving distance. We determined the fractal dimension using the discrete wavelet transform. We found that between the comoving distances 100–1,000 Mpc, the fractal dimension evolves linearly. At comoving distances greater than 1,000 Mpc, the fractal behavior seems to diminish; however, because the number of galaxies is much less at these co-moving distances, and because the sky coverage per pixel greater, this result is obtained with less confidence. At co-moving distances less than 100 Mpc, the power law behavior is seen over limited scales, but we see some evidence of multi-fractal behavior.
"Fractal Analysis of the Universe,"
DePaul Discoveries: Vol. 1
, Article 12.
Available at: http://via.library.depaul.edu/depaul-disc/vol1/iss1/12