Constraints on the biasing of density fluctuations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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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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