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Constraints on the Biasing of Density Fluctuations

Published online by Cambridge University Press:  03 August 2017

Alexander S. Szalay
Alexander S. Szalay*
Affiliation:
Dept. of Physics and Astronomy, the Johns Hopkins University

Abstract

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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 Q = J2/J12, where Jk is the k-th term in the Hermite expansion of G(X). The three point function is always accompanied by a cubic term Q3ξ1ξ2ξ3, independent of the functional form of the biasing. Its absence in the cluster 3-point correlations may be observable, in which case it rules out biasing as the major amplification mechanism of galaxy and cluster correlations.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 130: Large Scale Structures of the Universe , 1988 , pp. 163 - 167
Copyright
Copyright © Reidel 1988 

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