N-point correlations for biased galaxy formation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Autocorrelation, Galactic Clusters, Galactic Evolution, Asymptotic Properties, Scaling Laws, Series Expansion, Thresholds

Scientific paper

A general series expansion of arbitrary accuracy is given for the correlation function of the 'biased' regions of galaxy formation in terms of the mass autocorrelations. It is shown how to calculate the N-point correlations to arbitrary accuracy, and the validity of the various approximations is discussed. The asymptotic values of the N-point correlation functions at their highest point at zero spatial separation are given, and the scaling of these values is discussed.

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