Fractal structure in the large scale distribution of galaxies

Abstract We study the large scale structure of galaxy distribution from the fractal point of view using the CfA survey data. Main results are as follows: 1. Within certain ranges, the galaxy distribution is fractal with fractal dimension about 2.0. This result is different fron the value 1.2 – 1.4, expected from the galaxy two-point correlation function. 2. Galaxies of different luminosities show somewhat different fractal dimensions. This result indicates that they may correspond to different perturbation ranges in the early universe, in apparent agreement with thepredictions of biased galaxy formation theory. 3. Scales smaller and greater than 10 Mpc seem to have different fractal dimensions. A preliminary analysis of these results is included.