The distribution of points corresponding to the angular projection of a fractal is shown to become homogeneous for relatively large angels. In addition the corresponding correlation function w(θ) depends strongly on the angular half-width of the considered sample. These results show that,...

Self-gravitating systems have acquired growing interest in statistical mechanics, due to the peculiarities of the 1/r potential. Indeed, the usual approach of statistical mechanics cannot be applied to a system of many point particles interacting with the Newtonian potential, because of (i) the...

In the debate about galaxy correlation there are different questions which can be addressed separately: Which are the statistical methods able to properly detect scale invariance and describe, in general, the properties of irregular and regular distributions? Which are the implications for...