Statistics – Computation
Scientific paper
Jul 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...306..358f&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 306, July 15, 1986, p. 358-365. NASA-supported research.
Statistics
Computation
79
Cosmology, Galactic Clusters, Universe, Voids, Binomials, Computational Astrophysics, Hierarchies, Poisson Density Functions, Thermodynamics
Scientific paper
As one alternative to the N-point 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 cold-particle models; voids are more likely in neutrino universes. Observational data do not yet distinguish but are close to being able to distinguish between models.
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