Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333...21s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 333, Oct. 1, 1988, p. 21-23. Research supported by the Magyar Tudomanyos Ak
Astronomy and Astrophysics
Astrophysics
42
Constraints, Cosmology, Galactic Structure, Mass Distribution, Normal Density Functions, Galactic Clusters, Hermitian Polynomial
Scientific paper
A general nonlinear function G(X) describing the biasing of primordial Gaussian density fluctuations is considered. Arbitrary N-point correlations of the biased field are calculated in the form of a series expansion in terms of the correlations of the Gaussian field. The observed scaling of the three-point correlations in the galaxy distribution is satisfied, but the scaling coefficient Q has a nontrivial value. The three-point function is always accompanied by a cubic term, independent of the functional form of the biasing. Its absence in the cluster three-point correlations may be observable, in which case it rules out biasing as the major amplification mechanism of galaxy and cluster correlations.
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