MODERN COSMOLOGY

(r)analysis 373

Figure 13.2. Full correlation for the same data of figure 13.1 in the range of distances
0.5–100h−^1 Mpc. A reference line with a slope−1 is also shown (i.e. fractal dimension
D=2.

avalaible. Our analysis was carried out for VL samples; the results are collected
in figure 13.2 [6].
We can derive the following conclusions:

• (s)measured in different catalogues is apower lawas a function of the
  scales, extending from approximately 1 to 40–50h−^1 Mpc, without any
  tendency towards homogenization (flattening) [6]. This implies that all the
  optical catalogues show well-defined fractal correlations up to their limits,
  with the fractal dimensionD2[6].