Statistics of Voids in Hierarchical Universes
Abstract
As one alternative to the Npoint galaxy correlation function statistics, the distribution of holes or the probability that a volume of given size and shape be empty of galaxies can be considered. The probability of voids resulting from a variety of hierarchical patterns of clustering is considered, and these are compared with the results of numerical simulations and with observations. A scaling relation required by the hierarchical pattern of higher order correlation functions is seen to be obeyed in the simulations, and the numerical results show a clear difference between neutrino models and coldparticle models; voids are more likely in neutrino universes. Observational data do not yet distinguish but are close to being able to distinguish between models.
 Publication:

The Astrophysical Journal
 Pub Date:
 July 1986
 DOI:
 10.1086/164348
 Bibcode:
 1986ApJ...306..358F
 Keywords:

 Cosmology;
 Galactic Clusters;
 Universe;
 Voids;
 Binomials;
 Computational Astrophysics;
 Hierarchies;
 Poisson Density Functions;
 Thermodynamics;
 Astrophysics;
 COSMOLOGY;
 GALAXIES: CLUSTERING