Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apjs...36..389m&link_type=abstract
Astrophysical Journal Supplement Series, vol. 36, Mar. 1978, p. 389-404.
Astronomy and Astrophysics
Astrophysics
8
Astronomical Models, Correlation, Cosmology, Density Distribution, Galactic Clusters, Mathematical Models, Perturbation, Spatial Distribution, Universe
Scientific paper
Higher-order correlation functions for the large-scale distribution of galaxies in space are investigated. It is demonstrated that the three-point correlation function observed by Peebles and Groth (1975) is not consistent with a distribution of perturbations that at present are randomly distributed in space. The two-point correlation function is shown to be independent of how the perturbations are distributed spatially, and a model of clustered perturbations is developed which incorporates a nonuniform perturbation distribution and which explains the three-point correlation function. A model with hierarchical perturbations incorporating the same nonuniform distribution is also constructed; it is found that this model also explains the three-point correlation function, but predicts different results for the four-point and higher-order correlation functions than does the model with clustered perturbations. It is suggested that the model of hierarchical perturbations might be explained by the single assumption of having density fluctuations or discrete objects all of the same mass randomly placed at some initial epoch.
McClelland Jabez J.
Silk Joseph
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