Mathematics – Probability
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...181l..23s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 181, no. 2, July 1987, p. L23-L25.
Mathematics
Probability
7
Galactic Clusters, Probability Theory, Scaling Laws, Space Density, Correlation, Cosmology, Integral Equations, Projective Geometry, Voids
Scientific paper
The probability of holes in the distribution of galaxies is found to be given to a very good approximation by a universal function that carries all the dependence on: (1) the density of the sample, (2) the shape of the volume, and (3) a possible dependence of the galaxy two-body correlation function on either mass or luminosity. The universal function, which assumes that the galaxy N-body correlation functions are given to all orders by the scale-invariant hierarchical form holding for N=2-4, depends solely on the N-body galaxy correlations and furnishes a characterization of hole distribution which is model-independent.
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