Statistics
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...336....9w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 336, Jan. 1, 1989, p. 9-45. Research supported by the Israeli Basic Researc
Statistics
51
Big Bang Cosmology, Galactic Clusters, Galactic Evolution, Gravitational Collapse, Astronomical Catalogs, Dark Matter, Spatial Distribution, Statistical Distributions, Universe
Scientific paper
A simple toy model is used to study the spatial distribution of rich clusters in a generic type of explosion scenario. The model, parameterized by the distribution of shell radii and the filling factor, places spherical shells at random and identifies each 'knot' as a cluster. The resulting cluster correlation function is close to a power law extending to the diameter of the largest spheres. Richer clusters form at the intersections of bigger shells and so have stronger correlations. Typical shell radii and filling factors are required to produce the observed number density of clusters. Models with a power-law radius distribution also reproduce the richness distribution of clusters in the Abell catalog. Supercluster multiplicity functions, void probabilities, number counts, topology statistics, and velocity correlations confirm the presence of strong superclustering and quantify the non-Gaussian nature of the model.
Dekel Avishai
Ostriker Jeremiah P.
Weinberg David H.
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