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Title:
Statistical analysis of catalogs of extragalactic objects. IX - The four-point galaxy correlation function
Authors:
Fry, J. N.; Peebles, P. J. E.
Affiliation:
AA(Princeton University, Princeton, N.J.), AB(Princeton University, Princeton, N.J.)
Publication:
Astrophysical Journal, Part 1, vol. 221, Apr. 1, 1978, p. 19-33. NSF-supported research. (ApJ Homepage)
Publication Date:
04/1978
Category:
Astronomy
Origin:
STI
NASA/STI Keywords:
ASTRONOMICAL CATALOGS, ASTRONOMICAL MODELS, CORRELATION, GALACTIC CLUSTERS, STATISTICAL ANALYSIS, ANGULAR DISTRIBUTION, MATHEMATICAL MODELS, SPATIAL DISTRIBUTION
Comment:
A&AA ID. AAA021.160.022
DOI:
10.1086/156001
Bibliographic Code:
1978ApJ...221...19F

Abstract

The galaxy four-point correlation function is defined and estimated for the Lick and Zwicky catalogs. The results are not very precise because in both cases the function is only just detected above the noise. However, the fact that the expected scaling with survey depth is found gives reason to believe these are useful measures of the spatial four-point function for galaxy separations in the range of from about 0.5/h Mpc to about 4/h Mpc (H = 100h km/s per Mpc). The results are fairly well described by a simple generalization of the observed behavior of the three-point function. This lends further support to the continuous clustering hierarchy picture for the galaxy distribution, and more generally for the idea that there is a remarkably simple statistical pattern underlying the galaxy distribution.

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