Constraints on the Biasing of Density Fluctuations
Abstract
A general nonlinear function G(X) describing the biasing of primordial Gaussian density fluctuations is considered. Arbitrary Npoint 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 threepoint correlations in the galaxy distribution is satisfied, but the scaling coefficient Q has a nontrivial value. The threepoint function is always accompanied by a cubic term, independent of the functional form of the biasing. Its absence in the cluster threepoint correlations may be observable, in which case it rules out biasing as the major amplification mechanism of galaxy and cluster correlations.
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1988
 DOI:
 10.1086/166721
 Bibcode:
 1988ApJ...333...21S
 Keywords:

 Constraints;
 Cosmology;
 Galactic Structure;
 Mass Distribution;
 Normal Density Functions;
 Galactic Clusters;
 Hermitian Polynomial;
 Astrophysics;
 EARLY UNIVERSE;
 GALAXIES: CLUSTERING