Density and velocity correlations of peaks from random Gaussian fluctuations

Details Density and velocity correlations of peaks from random Gaussian fluctuations Density and velocity correlations of peaks from random Gaussian fluctuations

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.272..447r&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 272, Issue 2, pp. 447-461.

Astronomy and Astrophysics

Astronomy

17

Methods: Statistical, Galaxies: Clusters: General, Large-Scale Structure Of Universe

Scientific paper

We calculate the correlation function and pairwise velocities of density peaks in a Gaussian random field and the resulting correlation function in redshift space. In order to take maximum advantage of existing symmetries, we use spherical harmonics and provide a systematic series expansion of the full peak-peak correlation function up to second order. We evaluate second-order expansions primarily as a control on the accuracy of the linear terms. Our calculations provide a simple way to implement more complicated biasing schemes as well. In linear order the underlying power spectrum is modified with a transfer function that contains quantities from the biasing constraint and yields an effective `biasing factor'. This is more complicated than just a scale-independent constant, so that the power spectrum, the pairwise velocities of peaks and the resulting power spectrum in redshift space are all considerably different from those of random points. This affects determinations of Omega_0.

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